Arts
& Letters
Globe Trekker
Videos
Literature Library
Science Library
 
NEUTROSOPHY, NEUTROSOPHIC LOGIC, NEUTROSOPHIC SET,
NEUTROSOPHIC PROBABILITY AND STATISTICS
(philosophy, math,
science)
Short Definitions of Neutrosophics:
1. Neutrosophic Logic is a
general framework for unification of many existing logics, such as fuzzy logic
(especially intuitionistic fuzzy logic), paraconsistent logic, intuitionistic
logic, etc. The main idea of NL is to characterize each logical statement in a
3D Neutrosophic Space, where each dimension of the space represents respectively
the truth (T), the falsehood (F), and the indeterminacy (I) of the statement
under consideration, where T, I, F are standard or nonstandard real subsets of
]^{}0,
1^{+}[
with not necessarily any connection between them.
For software
engineering proposals the classical unit interval [0, 1] is used.
For single valued neutrosophic
logic, the sum of the components is:
0
≤
t+i+f
≤
3 when all three components are independent;
0
≤
t+i+f
≤
2 when two components are dependent, while the third one is independent from
them;
0
≤
t+i+f
≤
1 when all three components are dependent.
When three or two of
the components T, I, F are
independent, one leaves room for incomplete information (sum < 1), paraconsistent and contradictory information (sum
> 1), or complete information (sum = 1).
If all three
components T, I, F are dependent, then similarly one leaves room for incomplete information (sum < 1),
or complete information (sum = 1).
See this paper on
Independent/Dependent Neutrosophic Components.
In general, the sum of two
components x and y that vary in the unitary interval [0, 1] is: 0 ≤ x+y ≤ 2d(x,y), where d(x,y) is the degree of dependence between x and y, while 1d(x,y)
is the degree of independence between x and y.
In a general Refined Neutrosophic
Logic, T can be split into subcomponents T_{1}, T_{2}, ..., T_{p},
and I into I_{1}, I_{2}, ..., I_{r}, and F into F_{1},
F_{2}, ...,F_{s}, where p+r+s = n ≥ 1. Even more: T, I, and/or F
(or any of their subcomponents T_{j}, I_{k}, and/or F_{l}) can
be countable or uncountable infinite sets.
As a particular case, one can
split the Indeterminate I into Contradiction (true and false), and Uncertainty
(true or false), and we get an extension of Belnap's fourvalued logic.
Even more, one can split I into
Contradiction, Uncertainty, and Unknown, and we get a fivevalued logic.
See this most general published case here.
As an example: a
statement can be between [0.4, 0.6] true, {0.1} or between (0.15,0.25)
indeterminate, and either 0.4 or 0.6 false.
The
Neutrosophic Set was extended [Smarandache, 2007] to Neutrosophic Overset
(when some neutrosophic component is > 1),
since we observed that, for example, an employee
working overtime deserves a degree of membership > 1, with respect to an
employee that only works regular fulltime and whose degree of membership
= 1;
and to
Neutrosophic Underset (when some neutrosophic component is < 0),
since, for example, an employee
making more damage than benefit to his company deserves a degree of
membership < 0, with respect to an employee that produces benefit to the
company and has the degree of membership > 0;
and to and
to Neutrosophic Offset (when some neutrosophic components are off the
interval [0, 1], i.e. some neutrosophic component > 1 and some
neutrosophic component < 0).
Then, similarly, the Neutrosophic Logic/Measure/Probability/Statistics
etc. were extended to respectively Neutrosophic Over/Under/Off Logic,
Measure, Probability, Statistics etc.
http://fs.gallup.unm.edu/SVNeutrosophicOversetJMI.pdf
http://fs.gallup.unm.edu/IVNeutrosophicOversetUndersetOffset.pdf
http://fs.gallup.unm.edu/NeutrosophicOversetUndersetOffset.pdf
The distinctions between Neutrosophic Logic/Set and Intuitionistic Fuzzy Logic/Set are here.
2. Neutrosophic Set. Let U be a
universe of discourse, and M a set included in U. An element x from U is noted
with respect to the set M as x(T, I, F) and belongs to M in the following way:
it is t% true in the set, i% indeterminate (unknown if it is) in the set, and f%
false, where t varies in T, i varies in I, f varies in F.
Statically T, I, F
are subsets, but dynamically T, I, F are functions/operators depending on many
known or unknown parameters.
Neutrosophic Set
generalizes the fuzzy set (especially intuitionistic fuzzy set), paraconsistent
set, intuitionistic set, etc.
3. Neutrosophic Probability
is a generalization of the
classical probability and imprecise probability in which the chance that an
event A occurs is t% true  where t varies in the subset T, i% indeterminate 
where i varies in the subset I, and f% false  where f varies in the subset F.
In classical
probability n_sup <= 1, while in neutrosophic probability n_sup <= 3^{+}.
In imprecise
probability: the probability of an event is a subset T in [0, 1], not a number p
in [0, 1], what’s left is supposed to be the opposite, subset F (also from the
unit interval [0, 1]); there is no indeterminate subset I in imprecise
probability.
A
book on Introduction to Neutrosophic Probability is here.
4. Neutrosophic
Statistics is the analysis of
events described by the neutrosophic probability.
The function that
models the neutrosophic probability of a random variable x is called
neutrosophic
distribution: NP(x) = ( T(x), I(x),
F(x) ), where T(x) represents the probability that value x occurs, F(x)
represents the probability that value x does not occur, and I(x) represents the
indeterminate / unknown probability of value x.
A book on
Introduction to Neutrosophic Statistics is here.
5. Neutrosophy
is a new branch of philosophy that studies the origin, nature, and scope of
neutralities, as well as their interactions with different ideational spectra.
This theory
considers every notion or idea <A> together with its opposite or negation
<antiA> and with their spectrum of neutralities <neutA> in between
them (i.e. notions or ideas
supporting neither <A> nor <antiA>). The <neutA>
and <antiA> ideas together are referred to as <nonA>. Neutrosophy is
a generalization of Hegel's dialectics (the last one is based on <A> and <antiA>
only).
According to this
theory every idea <A> tends to be neutralized and balanced by <antiA> and
<nonA> ideas  as a state of equilibrium.
In a classical way
<A>, <neutA>, <antiA> are disjoint two by two.
But, since in many
cases the borders between notions are vague, imprecise, Sorites, it is
possible that <A>, <neutA>, <antiA> (and <nonA> of course) have common parts
two by two, or even all three of them as well.
The
LupascoNicolescu Law of Included Middle [<A>, <nonA>, and a
third value <T> which resolves their contradiction at another level of reality]
is generalized to the Law of Included MultipleMiddle [<A>, <antiA>, and
<neutA>, where <neutA> is split into a multitude of neutralities between <A> and
<antiA>, such as <neut_{1}A>, <neut_{2}A>, etc.]. The <neutA>
value (i.e. neutrality or indeterminacy related to <A>) actually comprises the
included middle value. Also
the Principle of Dynamic Opposition [opposition between <A> and <antiA>]
is extended to the Principle of Dynamic Neutrosophic Opposition [which
means oppositions among <A>, <antiA>, and <neutA>].
This book is here.
Neutrosophy is the
base of neutrosophic logic, neutrosophic set, neutrosophic probability, and neutrosophic statistics
that are used in engineering applications (especially for software and
information fusion), medicine, military, airspace, cybernetics, physics.
The neutrosophics
were introduced by Florentin Smarandache in 1995.
An article on Neutrosophy,
A New Branch of Phylosophy is here.
THE MOST IMPORTANT PUBLICATIONS IN THE DEVELOPMENT OF NEUTROSOPHICS




19951998  Smarandache generalizes the dialectics to neutrosophy;
introduces the neutrosophic set/logic/probability/statistics;
introductes the singlevalued neutrosophic set (pp.
78);
http://fs.gallup.unm.edu/ebookneutrosophics6.pdf
(last edition)
2002 – introduces special types of sets / probabilities / statistics /
logics, such as:

intuitionistic set, paraconsistent set, faillibilist set,
paradoxist set, pseudoparadoxist set, tautological set, nihilist set,
dialetheist set, trivialist set;

intuitionistic probability and statistics, paraconsistent
probability and statistics, faillibilist
probability and statistics, paradoxist probability and statistics, pseudoparadoxist
probability and statistics, tautological probability and statistics,
nihilist probability and statistics, dialetheist probability and statistics,
trivialist probability and statistics;

paradoxist logic (or paradoxism), pseudoparadoxist logic (or
pseudoparadoxism), tautological logic (or tautologism);
http://fs.gallup.unm.edu/DefinitionsDerivedFromNeutrosophics.pdf
2003

introduction of neutrosophic numbers (a+bI, where I = indeterminacy)
2003

introduction of
Ineutrosophic algebraic structures
2003

introduction to neutrosophic cognitive maps
http://fs.gallup.unm.edu/NCMs.pdf
2005  introduction of interval neutrosophic set/logic
http://fs.gallup.unm.edu/INSL.pdf
2006  introduction of the degree of
dependence and degree of independence between T, I, and F
http://fs.gallup.unm.edu/eBookneutrosophics6.pdf (last edition)
[p. 92]
http://fs.gallup.unm.edu/NSS/DegreeOfDependenceAndIndependence.pdf
2007

The
Neutrosophic Set was extended [Smarandache, 2007] to Neutrosophic Overset
(when some neutrosophic component is > 1), and to Neutrosophic Underset
(when some neutrosophic component is < 0), and to and to Neutrosophic Offset
(when some neutrosophic components are off the interval [0, 1], i.e. some
neutrosophic component > 1 and some neutrosophic component < 0).
Then, similarly, the Neutrosophic Logic/Measure/Probability/Statistics etc.
were extended to respectively Neutrosophic Over/Under/Off Logic, Measure,
Probability, Statistics etc.
http://fs.gallup.unm.edu/SVNeutrosophicOversetJMI.pdf
http://fs.gallup.unm.edu/IVNeutrosophicOversetUndersetOffset.pdf
http://fs.gallup.unm.edu/NeutrosophicOversetUndersetOffset.pdf
2007
 introduction
of the Neutrosophic Tripolar Set and
Neutrosophic Multipolar Set [Smarandache]
and consequently

the Neutrosophic Tripolar Graph and Neutrosophic
Multipolar Graph
http://fs.gallup.unm.edu/eBookneutrosophics6.pdf (last edition)
[p. 93]
http://fs.gallup.unm.edu/IFSgeneralized.pdf
2009

introduction of Nnorm and Nconorm
http://fs.gallup.unm.edu/NnormNconorm.pdf
2013  development of neutrosophic probability:
(chance that an event occurs, indeterminate chance of occurrence, chance that the event does not occur).
http://fs.gallup.unm.edu/NeutrosophicMeasureIntegralProbability.pdf
2013  refinement of components (T1, T2, ...; I1, I2, ...; F1, F2, ...)
http://fs.gallup.unm.edu/nValuedNeutrosophicLogic.pdf
2014

introduction of the law of included multiple middle
(<A>; <neut1A>, <neut2A>,
...;
<antiA>)
http://fs.gallup.unm.edu/LawIncludedMultipleMiddle.pdf
2014  development of neutrosophic statistics (indeterminacy is introduced
into classical statistics with respect to the sample/population, or with
respect to the individuals that only partially belong to a
sample/population)
http://fs.gallup.unm.edu/NeutrosophicStatistics.pdf
2015  introduction of neutrosophic precalculus and neutrosophic calculus
http://fs.gallup.unm.edu/NeutrosophicPrecalculusCalculus.pdf
2015

refined neutrosophic numbers (a+ b1I1 + b2I2 +
...
+ bnIn)
2015

neutrosophic graphs
2015 
ThesisAntithesisNeutrothesis, and Neutrosynthesis, Neutrosophic Axiomatic
System,
neutrosophic dynamic systems, symbolic neutrosophic logic,
(t, i, f)Neutrosophic Structures, INeutrosophic Structures,
Refined Literal Indeterminacy, Multiplication Law of Subindeterminacies:
http://fs.gallup.unm.edu/SymbolicNeutrosophicTheory.pdf

BOOKS ON NEUTROSOPHICS

Neutrosophic Overset,
Neutrosophic Underset, and Neutrosophic Offset. Similarly for Neutrosophic
Over/Under/Off Logic, Probability, and Statistics
very new 

Introduction to Neutrosophic Measure, Neutrosophic Integral, and
Neutrosophic Probability new 

Introduction to Neutrosophic Statistics
new 


Neutrosophic Precalculus and Neutrosophic Calculus
new 

Symbolic Neutrosophic Theory
new 

Law of Included MultipleMiddle & Principle of Dynamic Neutrosophic
Opposition 

Neutrosophic Graphs: A New Dimension to Graph Theory 

Soft Neutrosophic Algebraic Structures and Their Generalization (Vol.
1,
Vol. 2) 

New Research on Neutrosophic Algebraic Structures 

Pseudo Lattice Graphs and their Applications to Fuzzy and Neutrosophic
Models 

New Techniques to Analyse the Prediction of Fuzzy Models 

Algebraic Structures on Fuzzy Unit Square and Neutrosophic Unit square 

Algebraic Structures on Real and Neutrosophic Semi Open Squares 

Finite Neutrosophic Complex Numbers 

Neutrosophic Interval Bialgebraic Structures 

Neutrosophic Bilinear Algebras and Their Generalizations
Interval Groupoids 

Neutrality and ManyValued Logics 

Neutrosophy in Arabic Philosophy 

(
,
)
[Arabic] 

Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps 

Fuzzy Relational Maps and Neutrosophic Relational Maps 

Analysis of Social Aspects of Migrant Labourers Living with HIV/AIDS Using
Fuzzy Theory and Neutrosophic Cognitive Maps 

Smarandache Neutrosophic Algebraic Structures 

Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and
Neutrosophic Models 

Fuzzy Neutrosophic Models for Social Scientists 

Neutrosophic Rings 

Infinite Quaternion Pseudo Rings Using [0, n) 

Interval Groupoids 

Neutrosophic Crisp Set Theory 

A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic
Set, Neutrosophic Probability and Statistics (last edition) 

Сущность нейтрософии;
Смарадаке
Ф.(перевод Д. Рабунского)[Russian] 

逻辑学的统一：中智逻辑
中智学，中智集合论，中智概率论 (Chinese)
[1,
2] 

中道辩证法与唯道主义自然哲学[Chinese Neutrosophy and Taoist Natural Philosophy](Chinese) 

Neutrosophic
Interpretation of Tao Te Ching (道德经的中智学解读和扩充 ?正反及中智道德经) [EnglishChinese] 

Neutrosophic Interpretation of The Analects of Confucius 弗羅仁汀·司馬仁達齊，傅昱華
論語的中智學解讀和擴充 —正反及中智論語
EnglishChinese Bilingual（英汉双语 ) 

Neutrosofia ca reflectarea a realităţii neconvenţionale [Romanian] 

Proceedings of the First International Conference on Neutrosophy,
Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and
Statistics 

Proceedings of the Introduction to Neutrosophic Physics: Unmatter &
Unparticle International Conference 

Introduction to Neutrosophic Logic 



Interval Neutrosophic Sets and Logic: Theory and Applications in Computing 

Neutrosophic Dialogues 

Neutrosophic Emergences and Incidences in Communication and Information 

Communication Neutrosophic Routes 

Topical Communication Uncertainties 

Introduction to Bimatrices 



Applications of Bimatrices to some Fuzzy and Neutrosophic Models 



Fuzzy Interval Matrices and Neutrosophic Interval Matrices and their
Applications 

Elementary Fuzzy Matrix Theory and Fuzzy Models for Social Scientists 



Special Fuzzy Matrices for Social Scientists 



Methods in Industrial Biotechnology for Chemical Engineers 



Introduction to Linear Bialgebra 



Euclid Squares on Infinite Planes 

Uncertainty Communication Solution in Neutrosophic Key 

Fuzzy and Neutrosophic Analysis of Women with HIV/AIDS 



Fuzzy and Neutrosophic Analysis of Periyar's Views on Untouchability 



Some Neutrosophic Algebraic Structures and Neutrosophic NAlgebraic
Structures 



Neutrosophic Super Matrices and Quasi Super Matrices 

Vedic Mathematics  'Vedic' or 'Mathematics': A Fuzzy & Neutrosophic
Analysis 

Proceedings of the First International Conference on Smarandache Multispace
& Multistructure 



Nidus Idearum de Neutrosophia (blog) 

Neutrosophic Logic, Wave Mechanics, and Other Stories (Selected Works
20052008) 

Neutrosophic Physics: More Problems, More Solutions (Collected Papers) 

Unmatter Plasma, Relativistic ObliqueLength Contraction Factor,
Neutrosophic Diagram and Neutrosophic Degree of Paradoxicity
new 

Neutrosophic Theory and its Applications, Vol. 1 
PH D DISSERTATIONS ON NEUTROSOPHICS
AND THEIR APPLICATIONS:

Eng. Stefan Adrian Dumitru,
Contributii in dezvoltarea
sistemelor de control neuronal al miscarii robotilor mobili autonomi,
adviser
Dr. Luige
Vlădăreanu, Institute of Solid Mechanics, Romanian Academy, Bucharest, 25
September, 2014. 

Eng. Dănuț Adrian Bucur, Contribuţii
in
controlul mișcării sistemelor de prehensiune pentru roboți și maini umanoide
inteligente,
adviser
Dr. Luige
Vlădăreanu, Institute of Solid Mechanics, Romanian Academy, Bucharest, 25
September, 201
4. 

Eng. Daniel Octavian Melinte, Cercetari
teoretice si experimentale privind controlul sistemelor mecanice de
pozitionare cu precizie ridicata, advisers
Dr. Luige
Vlădăreanu & Dr. Florentin Smarandache, Institute of Solid Mechanics,
Romanian Academy, Bucharest, September 2014
. 

Eng. Ionel Alexandru Gal, Contributions to the Development of Hybrid
ForcePosition Control Strategies for Mobile Robots Control, advisers
Dr. Luige Vlădăreanu & Dr. Florentin Smarandache, Institute of Solid
Mechanics, Romanian Academy, Bucharest, October 14, 2013. 

Smita Rajpal, Intelligent Searching Techniques to Answer Queries in
RDBMS, Ph D Dissertation in progress, under the supervision of Prof. M.
N. Doja, Department of Computer Engineering Faculty of Engineering, Jamia
Millia Islamia, New Delhi, India, 2011. 



Josue Antonio Nescolarde Selva, A Systematic Vision of Belief Systems and
Ideologies, under the supervision of Dr. Josep Llus Us0 I Domenech, Dr.
Francesco Eves Macia, Universidad de Alicante, Spain, 2010. 

Ming Zhang, Novel Approaches to Image Segmentation Based
on Neutrosophic Logic,
Ph D Dissertation, Utah State University, Logan, Utah, USA, All
Graduate Theses and Dissertations, Paper 795,
http://digitalcommons.usu.edu/etd/795, 121201, 2010. 



Haibin Wang,
Study on Interval Neutrosophic Set and Logic, Georgia State University,
Atlanta, USA, 2005. 



Sukanto Bhattacharya, Utility, Rationality and Beyond  From Finance to
Informational Finance [using Neutrosophic Probability], Bond University,
Queensland, Australia, 2004. 
INTERNATIONAL CONFERENCES ON
NEUTROSOPHICS:
International Conference on Information Fusion,
Tutorial on Foundations of Neutrosophic Set and Logic and Their Applications to
Information Fusion, by F. Smarandache, 7th July 2014, Salamanca, Spain.
International Conference on Applications of Plausible, Paradoxical, and
Neutrosophic Reasoning
for Information Fusion,
Cairns, Queensland, Australia, 811 July 2003.
First International Conference on Neutrosophy, Neutrosophic Logic, Set,
Probability and Statistics, University of New Mexico, Gallup Campus, 13
December 2001.
TUTORIAL
Tutorial on the
Foundations of Neutrosophic Logic and Set and
their Applications in Science
ARTICLES ON NEUTROSOPHICS:

Applications of Neutrosophic Logic to Robotics,
by Florentin Smarandache, Luige Vlădăreanu, 6 p. 

Connections between Extension Logic and Refined
Neutrosophic Logic, by Florentin Smarandache, 9
p. 

Correlation Coefficient of Interval Neutrosophic Set,
by Said Broumi, Florentin Smarandache, Applied Mechanics and Materials,
Vol. 436 (2013), pp. 511517, 8 p. 

Cosine Similarity Measure of Interval Valued Neutrosophic
Sets, by Said Broumi, Florentin Smarandache, 5 p. 

Distance and Similarity Measures of Interval Neutrosophic
Soft Sets, by Said Broumi, Irfan Deli, Florentin
Smarandache, 18 p. 

Generalized Interval Neutrosophic Soft Set and its
Decision Making Problem, by Said Broumi, Rıdvan
Sahin, Florentin Smarandache, Journal of New Research in Science, No. 7
(2014), pp. 2947, 19 p. 

A Geometric Interpretation of the Neutrosophic Set, A
Generalization of the Intuitionistic Fuzzy Set,
by Florentin Smarandache, 9 p. 

GNeutrosophic Space, by
Mumtaz Ali, Florentin Smarandache, Munazza Naz, Muhammad Shabir, in U.P.B.
Sci. Bull., 11 p. 

Interval Neutrosophic Rough Set,
by Said Broumi, Florentin Smarandache, Journal of New Research in
Science, 14 p. 

Interval Valued Neutrosophic Parameterized Soft Set
Theory and its Decision Making, by Said Broumi,
Irfan Deli, Florentin Smarandache, Journal of New Research in Science,
No. 7 (2014), pp. 5871, 14 p. 

Intuitionistic Neutrosophic Soft Set,
by Said Broumi, Florentin Smarandache, Journal of Information and
Computing Science, Vol. 8, No. 2, 2013, pp. 130140, 11 p.


Intuitionistic Neutrosphic Soft Set over Rings,
by Said Broumi, Florentin Smarandache, Pabitra Kumar Maji, Mathematics
and Statistics, No. 2(3), 2014, pp. 120126, DOI: 10.13189/ms.2014.020303,
7 p. 

Lower and Upper Soft Interval Valued Neutrosophic Rough
Approximations of An IVNSSRelation, by Said
Broumi, Florentin Smarandache, at SISOM & ACOUSTICS 2014, Bucharest 2223
May, 8 p. 

More on Intuitionistic Neutrosophic Soft Sets,
by Said Broumi, Florentin Smarandache, Computer Science and Information
Technology, No. 1(4), 2013, pp. 257268, DOI: 10.13189/csit.2013.010404, 12
p. 

Neutrosofia, o nouă ramură a filosofiei,
by Florentin Smarandache, 10 p. 

Neutrosophic Crisp Open Set and Neutrosophic Crisp
Continuity via Neutrosophic Crisp Ideals, by A.
A. Salama, Said Broumi, Florentin Smarandache, I.J. Information
Engineering and Electronic Business, No. 3, 2014, pp. 18, DOI:
10.5815/ijieeb.2014.03.01, 8 p. 

Neutrosophic Crisp Sets & Neutrosophic Crisp Topological
Spaces, by A. A. Salama, Florentin Smarandache,
Valeri Kroumov, 7 p. 

Neutrosophic Ideal Theory: Neutrosophic Local Function
and Generated Neutrosophic Topology, by A. A.
Salama, Florentin Smarandache, 6 p. 

Neutrosophic Logic Approaches Applied to RABOT Real
Time Control, by Alexandru Gal, Luige Vladareanu,
Florentin Smarandache, Hongnian Yu, Mincong Deng, 6 p. 

Neutrosophic Multi relations and Their Properties,
by Said Broumi, Irfan Deli, Florentin Smarandache, 18 p. 

Neutrosophic Principle of Interconvertibility
MatterEnergyInformation, by Florentin
Smarandache, Ştefan Vlăduţescu, Journal of Information Science, 2014,
pp. 19, DOI: 10.1177/0165551510000000, 9 p. 

Neutrosophic Refined Relations and Their Properties,
by Said Broumi, Irfan Deli, Florentin Smarandache, 21 p. 

Neutrosophic Set
 A Generalization of the Intuitionistic
Fuzzy Set, by Florentin Smarandache, 15 p. 

New Distance and Similarity Measures of Interval
Neutrosophic Sets, by Said Broumi, Florentin
Smarandache, 7 p. 

New Operations on Interval Neutrosophic Sets,
by Said Broumi, Florentin Smarandache, 11 p. 

nValued Refined Neutrosophic Logic and Its Applications
to Physics, by Florentin Smarandache, 9 p. 

Relations on Interval Valued Neutrosophic Soft Sets,
by Said Broumi, Irfan Deli, Florentin Smarandache, 19 p. 

Reliability and Importance Discounting of Neutrosophic
Masses, by Florentin Smarandache, 14 p. 

Replacing the Conjunctive Rule and Disjunctive Rule with
Tnorms and Tconorms respectively, by Florentin
Smarandache, 2 p. 

Several Similarity Measures of Neutrosophic Sets,
by Said Broumi, Florentin Smarandache, 10 p. 

Soft Neutrosophic Left Almost Semigroup,
by Florentin Smarandache, Mumtaz Ali, Munazza Naz, Muhammad Shabir, at SISOM
& ACOUSTICS 2014, Bucharest 2223 May 

Soft Neutrosophic Loop, Soft Neutrosophic Biloop and Soft
Neutrosophic NLoop, by Mumtaz Ali, Florentin
Smarandache, Muhammad Shabir, 22 p. 

Soft neutrosophic semigroups and their generalization,
by Mumtaz Ali, Muhammad Shabir, Munazza Naz, Florentin Smarandache, Scientia Magna, Vol. 10 (2014), No. 1, pp. 93111, 19 p. 

Some Types of Neutrosophic Crisp Sets and Neutrosophic
Crisp Relations, by A. A. Salama, Said Broumi,
Florentin Smarandache, I.J. Information Engineering and Electronic
Business, 2014, 9 p. 

Interval Neutrosophic Sets and its Application in Multicriteria Decision
Making Problems, by Zhang Hongyu, Jian Qiang Wang, and Xiaohong Chen, The
Scientific World Journal, 2013. 

Neutrosophic information in the framework of multivalued representation, by
Vasile Patrascu, CAIM,
Romanian Society of
Applied and Industrial Mathematics et al., 1922 September 2013,
Bucharest, Romania. 

Nnorm and Nconorm in Neutrosophic Logic and Set, and the Neutrosophic
Topologies (2005), in Critical
Review, Creighton University, Vol. III, 7383, 2009. 



nary Fuzzy Logic and Neutrosophic Logic Operators, by F. Smarandache, V.
Christianto, in arXiv.org, Studies in Logic Grammar and
Rhetoric, Belarus, 17 (30), 116, 2009. 

Neutrosophic Logic and Set, and Paradoxes
chapters by F. Smarandache, V. Christianto, F. Liu, Haibin Wang, Yanqing
Zhang, Rajshekhar Sunderraman, Andre Rogatko, Andrew Schumann, in
Multispace & Multistructure. Neutrosophic
Transdisciplinarity, NESP, Finland, pp. 395548 and respectively
604631, 2010. 

The Fifth Function of University: Neutrosophic
Efunction of CommunicationCollaborationIntegration of University in the
Information Age, by F. Smarandache, S. Vlăduţescu 

The Neutrosophic Research Method in Scientific and Humanistic Fields, by
Florentin Smarandache, in Multispace and Multistructure, Vol. 4, 732733,
2010. 

Single Valued Neutrosophic Sets, by Haibin Wang, Florentin Smarandache,
Yanqing Zhang, Rajshekhar Sunderraman, in Multispace and Multistructure,
Vol. 4, 410413, 2010. 

Neutrosophic Soft Set, by Pabitra Kumar Maji, Annals of Fuzzy Mathematics
and Informatics, Vol. 5, No. 1, 157168, January 2013. 

A Neutrosophic Soft Set Approach to A Decision Making Problem, by Pabitra
Kumar Maji, Annals of Fuzzy Mathematics and Informatics, Vol. 3, No. 2,
313319, April 2012. 

Correlation Coefficients of Neutrosophic Sets by
Centroid Method, by I. M. Hanafy, A. A. Salama, K. M. Mahfouz,
International Journal of Probability and Statistics 2013, 2(1): 912. 

Analisis de textos de Jose Martí utilizando mapas cognitivos neutrosoficos,
por Maikel LeyvaVazquez, Karina PerezTeruel, F. Smarandache, 2013,
http://vixra.org/abs/1303.0216. 

Correlation of Neutrosophic Data, by
I. M. Hanafy, A.A.Salama and K.
Mahfouz,
International Refereed Journal of
Engineering and Science (IRJES), Vol. 1, Issue 2, 3943, 2012. 

Neutrosophic Filters, by A. A. Salama & H. Alagamy,
International Journal of Computer Science Engineering and Information
Technology Research (IJCSEITR), Vol. 3, Issue 1, Mar 2013, 307312. 

Neutrosophic Masses & Indeterminate Models. Applications to Information
Fusion, by Florentin Smarandache, Proceedings of the 15^{th}
International Conference on Information Fusion, Singapore, 912 July 2012. 

A Geometric Interpretation of the Neutrosophic Set, A Generalization of the Intuitionistic Fuzzy Set, 2011 IEEE International Conference on Granular
Computing, edited by TzungPei Hong, Yasuo Kudo, Mineichi Kudo, TsauYoung
Lin, BeenChian Chien, ShyueLiang Wang, Masahiro Inuiguchi, GuiLong Liu,
IEEE Computer Society, National University of Kaohsiung, Taiwan, 602606,
810 November 2011. 

Applications of Neutrosophic Logic to Robotics / An Introduction, by
Florentin Smarandache, Luige Vladareanu, 2011 IEEE International Conference
on Granular Computing, edited by TzungPei Hong, Yasuo Kudo, Mineichi Kudo,
TsauYoung Lin, BeenChian Chien, ShyueLiang Wang, Masahiro Inuiguchi,
GuiLong Liu, IEEE Computer Society, National University of Kaohsiung,
Taiwan, 607612, 810 November 2011. 

Color Image Segmentation Based
on Neutrosophic Method, by Ling Zhang, Ming Zhang, H. D. Cheng, Optical
Engineering, 51(3), 037009, 2012. 

Intuitionistic Neutrosophic Soft Set, by Said Broumi, F. Smarandache,
Journal of Information and Computing
Science, Vol. 8, No. 2, 2013, pp.
130140. 

A Novel Neutrosophic Logic SVM (NSVM) and its Application to Image
Categorization, by Wen Ju and H. D. Cheng, New Mathematics and Natural
Computation (World Scientific), Vol. 9, No. 1, 2742, 2013. 

Activism and Nations Building in Pervasive Social Computing Using
Neutrosophic Cognitive Maps (NCMs), by
A.Victor Devadoss, M. Clement Joe Anand, International Journal of Computing
Algorithm, Volume: 02, Pages: 257262, October 2013. 

A Study of Quality in Primary Education Combined Disjoint Block Neutrosophic
Cognitive Maps (CDBNCM), by
A.Victor Devadoss, M. Clement Joe
Anand, A. Joseph Bellarmin,
IndoBhutan International Conference On
Gross National Happiness Vol. 02, Pages: 256261,October 2013. 

Segmentation of Breast
Ultrasound Images Based on Neutrosophic Method, by Ming Zhang, Ling
Zhang, H. D. Cheng, Optical Engineering, 49(11), 117001117012, 2010. 

A Neutrosophic Approach to
Image Segmentation Based on Watershed Approach, by Ming Zhang, Ling
Zhang, H. D. Cheng, Signal Processing, 90(5), 15101517, 2010. 

On
neutrosophic
paraconsistent topology,
by F .G.
Lupianez,
Kybernetes 39 (2010), 598601. 

Strategy on T, I, F Operators. A Kernel
Infrastructure in Neutrosophic Logic, by Florentin Smarandache, in
Multispace and Multistructure, Vol. 4, 414419, 2010. 

On Similarity and Entropy of Neutrosophic Sets, by
Pinaki Majumdar & S. K. Samanta. M.U.C Women College, Burdwan (W. B.),
India, 2013. 

An Effective Neutrosophic SetBased Preprocessing Method for Face
Recognition, by Mohammad Reza Faraji and Xiaojun Qi, Utah State University,
Logan, 2013. 

Toward Dialectic Matter Element of Extenics Model, by Liu Feng, Florentin
Smarandache, in Multispace and Multistructure, Vol. 4, 420429, 2010. 

Self Knowledge and Knowledge Communication, by Liu Feng and Florentin
Smarandache, in Multispace and Multistructure, Vol. 4, 430435, 2010. 

A Neutrosophic Description Logic, by
Haibin Wang, Andre Rogatko,
Florentin Smarandache, Rajshekhar Sunderraman,Proceedings
of 2006 IEEE International Conference on Granular
Computing, edited by YanQing Zhang and Tsau
Young Lin, Georgia State University, Atlanta, 305308, 2006. 

Neutrosophic Relational Data Model, by Haibin Wang, Rajshekhar Sunderraman,
Florentin Smarandache, Andre Rogatko, Critical Review (Society for
Mathematics of Uncertainty), Creighton University, Vol. II, 1935, 2008. 

Short Definitions
of Neutrosophic Notions [in Russian], by F. Smarandache, translated by A.
Schumann, Philosophical Lexicon, MinskMoscow, Econompress, BelarusRussia,
2008. 

Neutrosophic Logic Based Semantic Web Services Agent, by Haibin Wang,
YanQing Zhang, Rajshekhar Sunderraman, Florentin Smarandache, in Multispace
and Multistructure, Vol. 4, 505519, 2010. 

Neutrosophic Transdisciplinarity (MultiSpace & MultiStructure), by
Florentin Smarandache, presented at Scoala de Vara Internationala,
Interdisciplinara si Academica, Romanian Academy, Bucharest, 610 July 2009. 

Neutrosophic Logic as a Theory of Everything in Logics, by Florentin
Smarandache, in Multispace and Multistructure, Vol. 4, 525527, 2010. 

Blogs on Applications of Neutrosophics and Multispace in Sciences, by
Florentin Smarandache, in Multispace and Multistructure, Vol. 4, 528548,
2010. 

A Neutrosophic Multicriteria Decision Making
Method, by Athar Kharal, National University of Science and Technology,
Islamabad, Pakistan. 

A multicriteria decisionmaking
method using aggregation operators for simplified neutrosophic sets, by J.
Ye, Journal of Intelligent and Fuzzy Systems (2013) doi: 10.3233/IFS130916.


Single valued neutrosophic
crossentropy for multicriteria decision making problems, by Jun Ye, Applied
Mathematical Modelling (2013) doi: 10.1016/j.apm.2013.07.020. 

Multicriteria decisionmaking method using the correlation coefficient under
singlevalued neutrosophic environment, by Jun Ye, International Journal of
General Systems, Vol. 42, No. 4, 386394, 2013. 

Similarity Measures between Interval Neutrosophic Sets and their
Multicriteria Decision Method, by Jun Ye, Shaoxing Univ., China. 

Neutrosophic Degree of a Paradoxicity, by Florentin Smarandache, in
Multispace and Multistructure, Vol. 4, 605607, 2010. 

Neutrosophic Diagram and Classes of Neutrosophic Paradoxes, or To The
OuterLimits of Science, by Florentin Smarandache, Prog. Physics, Vol. 4,
1823, 2010. 

Sdenying a Theory, by Florentin Smarandache, in Multispace and
Multistructure, Vol. 4, 622629, 2010. 

Five Paradoxes and a General Question on Time Traveling, by Florentin
Smarandache, Prog. Physics, Vol. 4, 24, 2010. 

H. D. Cheng, Yanhui Guo and Yingtao Zhang, A Novel Image Segmentation
Approach Based on Neutrosophic Set and Improved Fuzzy Cmeans Algorithm,
New Mathematics and Natural Computation, Vol. 7, No. 1 (2011) 155171. 

Degree of Negation of an Axiom, by F.
Smarandache,to appear in the Journal of Approximate Reasoning,
arXiv:0905.0719. 

Remedy for Effective Cure of Diseases using Combined Neutrosophic
Relational Maps, by
M R Bivin, N.Saivaraju and K S Ravichandran,
International
Journal of Computer Applications, 12(12):18?23,
January 2011. Published by Foundation of Computer Science. 

Neutrosphic Research Method, by F. Smarandache,
in Multispace & Multistructure. Neutrosophic
Transdisciplinarity, NESP, Finland, pp. 395548 and respectively
732733, 2010. 

A Tool for Qualitative Causal Reasoning On Complex Systems, by Tahar
Guerram, Ramdane Maamri, and Zaidi Sahnoun, IJCSI International Journal of
Computer Science Issues, Vol. 7, Issue 6, November 2010. 

A Study on Suicide problem using Combined
Overlap Block Neutrosophic Cognitive Maps, by P. Thiruppathi,
N.Saivaraju, K.S. Ravichandran, International
Journal of Algorithms, Computing and Mathematics, Vol. 3, Number 4, November
2010. 

On various neutrosophic
topologies,
Francisco Gallego
Lupiáñez,
Recent
advances in Fuzzy Systems, WSEAS (Athens , 2009), 5962. 

Interval
neutrosophic sets and
Topology, by F .G.
Lupianez,
Kybernetes 38
(2009), 621624. 

On various
neutrosophic topologies,
by F .G.
Lupiáñez,
Kybernetes 38
(2009), 10091013. 

Interval neutrosophic sets
and topology,
Francisco Gallego
Lupianez,
Kybernetes: The
International Journal of Systems & Cybernetics, Volume 38, Numbers
34, 2009 , pp. 621624 (4). 

Neutrosophic logics on NonArchimedean Structures, by Andrew
Schumann, Critical Review, Creighton
University, USA, Vol. III, 3658, 2009. 

Positive, Negative and Neutral Law of Universal Gravitation,
by Fu Yuhua, Fu Anjie, Zhao Ge, New Science and Technology, 2009 (12),
3032. 





On
Neutrosophic Topology,
by F .G.
Lupiáñez,
Kybernetes 37
(2008), 797800. 

Interval
neutrosophic sets and
Topology, by F .G. Lupiáñez,“Applied
and Computational Mathematics”, WSEAS (
Athens , 2008),
110112. 

A Method of Neutrosophic Logic to Answer Queries in Relational Database,
by Smita Rajpal, M.N. Doja and Ranjit Biswas, Journal of Computer Science 4
(4): 309314, 2008. 

Ensemble Neural Networks
Using Interval Neutrosophic Sets and Bagging, by
Pawalai Kraipeerapun,
Chun Che Fung,
Kok Wai Wong, Third
International Conference on Natural Computation (ICNC 2007), Haikou, Hainan,
China, August 24August 27, 2007. 

Lithofacies Classification
from Well Log Data using Neural Networks, Interval Neutrosophic Sets and
Quantification
of
Uncertainty,
by
Pawalai Kraipeerapun, Chun Che Fung, and Kok Wai Wong,
World Academy of Science, Engineering and Technology, 23, 2006. 

Redesigning Decision Matrix Method with an
indeterminacybased inference process, by
Jose L. Salmeron, Florentin
Smarandache,
Advances in Fuzzy Sets and Systems, Vol. 1(2), 263271, 2006. 

Neural network ensembles
using interval neutrosophic sets and bagging for
mineral prospectivity prediction and quantification of uncertainty,
by
P.
Kraipeerapun,
C. C. Fung,
W. Brown and K.
W.
Wong,
2006 IEEE Conference on Cybernetics and Intelligent Systems, 79 June 2006,
Bangkok, Thailand. 

Processing Uncertainty and Indeterminacy in
Information Systems success mapping, by
Jose L. Salmeron, Florentin
Smarandache,
arXiv:cs/0512047v2. 

The Combination of Paradoxical, Uncertain, and
Imprecise Sources of Information based on DSmT and NeutroFuzzy Inference,
by
Florentin Smarandache, Jean
Dezert; in
arXiv:cs/0412091v1.
A version of
this
paper published in Proceedings of 10th
International Conference on Fuzzy Theory and Technology (FT&T 2005), Salt
Lake City, Utah, USA, July 2126, 2005. 

Book Review by Milan Mares: W. B. Vasantha Kandasamy and Florentin
Smarandache, Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps,
Kybernetika, Vol. 40 (2004), No. 1, [151]15. 

SetTheoretic Operators on Degenerated Neutrosophic Set, by H. Wang, Y.
Zhang, R. Sunderraman, F. Song, Georgia State UNiversity, Atlanta, 2004. 

Neutrosophy in situation analysis,
AnneLaure Jousselme, Patrick Maupin, Proc. of Fusion 2004 Int. Conf.
on Information Fusion, pp. 400406,
Stockholm, Sweden, June 28July1, 2004 (http://www.fusion2004.org). 

Preamble to Neutrosophic Logic, by C. Lee, MultipleValued Logic / An
International Journal, Vol. 8, No. 3, 285296, June 2002. 

Neutrosophy, a New Branch of Philosophy, by Florentin Smarandache,
MultipleValued Logic / An International Journal, Vol. 8, No. 3, 297384,
June 2002. 

A Unifying Field in Logics: Neutrosophic Field, by Florentin
Smarandache, MultipleValued Logic / An International Journal, Vol. 8, No.
3, 385438, June 2002. 

Open Questions to Neutrosophic Inferences, by Jean Dezert,
MultipleValued Logic / An International Journal, Vol. 8, No. 3, 439472,
June 2002. 

Logic: A Misleading Concept. A Contradiction
Study toward Agent's Logic, by
Feng Liu, Florentin
Smarandache,
Proceedings of the
First International Conference on Neutrosophy,
Neutrosophic Logic, Neutrosophic Set,
Neutrosophic Probability and Statistics, University of New Mexico, Gallup
Campus, 2001. 

Six Neutral Fundamental Reactions Between Four
Fundamental Reactions, by
Fu Yuhua, Fu Anjie, Zhao Ge,
http://wbabin.net/physics/yuhua2.pdf. 

On Rugina's System of Thought, by
Florentin Smarandache,
International Journal of Social Economics, Vol. 28, No. 8, 623647, 2001. 

Intentionally and Unintentionally. On Both, A
and NonA, in Neutrosophy, by Feng Liu, Florentin Smarandache,
Presented to
the First International Conference on Neutrosophy,
Neutrosophic Logic, Set, and Probability,
University of New Mexico, Gallup, December 13, 2001. 

Neutrosophic Transdisciplinarity, by F. Smarandache, 1969. 

Online English Dictionary, Definition of Neutrosophy.


Deployment of neutrosophic technology
to retrieve answer for queries posed in natural language, by
Arora,
M. ;
Biswas,
R.;
Computer Science and Information Technology (ICCSIT), 2010 3rd IEEE
International Conference on,
Vol. 3, DOI:
10.1109/ICCSIT.2010.5564125,
2010, 435439.


Neutrosophic modeling and control,
Aggarwal, S.
;
Biswas,
R. ;
Ansari,
A.Q.
Computer and Communication Technology (ICCCT), 2010 International Conference
on,
DOI:
10.1109/ICCCT.2010.5640435,
2010, 718723.


Truthvalue based interval neutrosophic sets,
Wang,
H. ;
YanQing Zhang
;
Sunderraman, R.,
Granular Computing, 2005 IEEE International Conference on,
Vol. 1, DOI:
10.1109/GRC.2005.1547284,
2005, 274277;
Cited
by 5. 

A
geometric interpretation of the neutrosophic set — A generalization of the
intuitionistic fuzzy set,
Smarandache, F.,
Granular Computing (GrC), 2011 IEEE International Conference on,
DOI:
10.1109/GRC.2011.6122665,
2011, 602606.


MRI
denoising based on neutrosophic wiener filtering,
Mohan,
J. ;
Yanhui
Guo ;
Krishnaveni, V.;
Jeganathan, K.,
Imaging Systems and Techniques (IST), 2012 IEEE International Conference on,
DOI:
10.1109/IST.2012.6295518,
2012, 327331.


Applications of neutrosophic logic to robotics: An introduction,
Smarandache, F.
;
Vladareanu, L.,
Granular Computing (GrC), 2011 IEEE International Conference on,
DOI:
10.1109/GRC.2011.6122666,
2011,
607612;
Cited
by 1. 

A
Neutrosophic approach of MRI denoising,
Mohan,
J. ;
Krishnaveni, V.
;
Guo,
Yanhui
Image Information Processing (ICIIP), 2011 International Conference on,
DOI:
10.1109/ICIIP.2011.6108880,
2011, 16.


Neural
Network Ensembles using Interval Neutrosophic Sets and Bagging for Mineral
Prospectivity Prediction and Quantification of Uncertainty,
Kraipeerapun, P.
;
Chun
Che Fung
;
Brown,
W. ;
KokWai Wong,
Cybernetics and Intelligent Systems, 2006 IEEE Conference on,
DOI:
10.1109/ICCIS.2006.252249,
2006, 16;
Cited
by 2. 

Neutrosophic masses & indeterminate models: Applications to information
fusion,
Smarandache, F.,
Information Fusion (FUSION), 2012 15th International Conference on,
2012, 10511057.


Red
Teaming military intelligence  a new approach based on Neutrosophic Cognitive
Mapping,
Rao,
S.;
Intelligent Systems and Knowledge Engineering (ISKE), 2010 International
Conference on,
DOI:
10.1109/ISKE.2010.5680765,
2010, 622627.


Neutrosophic masses & indeterminate models. Applications to information
fusion,
Smarandache, F.,
Advanced Mechatronic Systems (ICAMechS), 2012 International Conference on,
2012,
674679.


Validating the Neutrosophic approach of MRI denoising based on structural
similarity,
Mohan,
J. ;
Krishnaveni, V.
;
Guo,
Yanhui;
Image
Processing (IPR 2012), IET Conference on,
DOI:
10.1049/cp.2012.0419,
2012, 16.


Ensemble Neural Networks Using Interval Neutrosophic Sets and Bagging,
Kraipeerapun, P.
;
Chun
Che Fung
;
Kok
Wai Wong;
Natural Computation, 2007. ICNC 2007. Third International Conference on,
Vol. 1,
DOI:
10.1109/ICNC.2007.359,
2007, 386390,
Cited
by 1. 

Comparing performance of interval neutrosophic sets and neural networks with
support vector machines for binary classification problems,
Kraipeerapun, P.
;
Chun
Che Fung,
Digital Ecosystems and Technologies, 2008. DEST 2008. 2nd IEEE International
Conference on,
DOI:
10.1109/DEST.2008.4635138,
2008, 3437.


Quantification of Uncertainty in Mineral Prospectivity Prediction Using Neural
Network Ensembles and Interval Neutrosophic Sets,
Kraipeerapun, P.
;
Kok
Wai Wong
;
Chun
Che Fung
;
Brown,
W.;
Neural
Networks, 2006. IJCNN '06. International Joint Conference on,
DOI:
10.1109/IJCNN.2006.247262,
2006, 30343039.


A
neutrosophic description logic,
Haibin
Wang ;
Rogatko, A.
;
Smarandache, F.
;
Sunderraman, R.;
Granular Computing, 2006 IEEE International Conference on
DOI:
10.1109/GRC.2006.1635801,
2006, 305308.


Neutrosophic information fusion applied to financial market,
Khoshnevisan, M.
;
Bhattacharya, S.;
Information Fusion, 2003. Proceedings of the Sixth International Conference of
Vol. 2, DOI:
10.1109/ICIF.2003.177381,
2003, 12521257.


Neutrosophic set  a generalization of the intuitionistic fuzzy set,
Smarandache, F.
Granular Computing, 2006 IEEE International Conference on,
DOI:
10.1109/GRC.2006.1635754,
2006, 3842.


From
Fuzzification to Neutrosophication: A Better Interface between Logic and Human
Reasoning,
Aggarwal, S.
;
Biswas,
R. ;
Ansari,
A.Q.
Emerging Trends in Engineering and Technology (ICETET), 2010 3rd International
Conference on,
DOI:
10.1109/ICETET.2010.26,
2010, 2126.


A
novel image enhancement approach for Phalanx and Epiphyseal/metaphyseal
segmentation based on hand radiographs,
ChihYen
Chen ;
TaiShan Liao
;
ChiWen
Hsieh ;
TzuChiang Liu
;
HungChun Chien;
Instrumentation and Measurement Technology Conference (I2MTC), 2012 IEEE
International,
DOI:
10.1109/I2MTC.2012.6229651,
2012, 220224.


Quantification of Vagueness in Multiclass Classification Based on Multiple
Binary Neural Networks,
Kraipeerapun, P.
;
Chun
Che Fung
;
Kok
Wai Wong
Machine Learning and Cybernetics, 2007 International Conference on,
Vol. 1, DOI:
10.1109/ICMLC.2007.4370129,
2007 140144,
Cited
by 1. 

Automatic Tuning of MST Segmentation of Mammograms for Registration and Mass
Detection Algorithms,
Bajger,
M. ;
Fei Ma
;
Bottema, M.J.;
Digital
Image Computing: Techniques and Applications, 2009. DICTA '09.
DOI:
10.1109/DICTA.2009.72,
2009. 400407,
Cited
by 1. 

Externalizing Tacit knowledge to discern unhealthy nuclear intentions of
nation states,
Rao,
S.,
Intelligent System and Knowledge Engineering, 2008. ISKE 2008. 3rd
International Conference on,
Vol. 1, DOI:
10.1109/ISKE.2008.4730959,
2008, 378383.


Vagueness, a multifacet concept  a case study on Ambrosia artemisiifolia
predictive cartography,
Maupin, P.
;
Jousselme, A.L.
Geoscience and Remote Sensing Symposium, 2004. IGARSS '04. Proceedings. 2004
IEEE International,
Vol. 1, DOI:
10.1109/IGARSS.2004.1369036,
2004,
Cited
by 1. 

Analysis of information fusion combining rules under the dsm theory using ESM
inputs,
Djiknavorian, P.
;
Grenier, D.
;
Valin,
P. ;
Information Fusion, 2007 10th International Conference on,
DOI:
10.1109/ICIF.2007.4408128,
2007, 1 – 8,
Cited by 4. 

Adjustable soft
discernibility matrix based on picture fuzzy soft sets and its applications in
decision making,
by Yong Yang, Chencheng Liang, Shiwei Ji and Tingting Liu. Journal of
Intelligent & Fuzzy Systems, 2015, 12 p. 

A Multicriteria
neutrosophic group decision making method based TOPSIS for supplier selection,
by Ridvan Sahin, Muhammed Yigider.11 p. 

A multicriteria
neutrosophic group decision making method based TOPSIS for supplier selection,
by Ridvan Sahin, Muhammed Yigider. 11 p. 

A MultiObjective
Production Planning Problem Based on Neutrosophic Linear Programming Approach,
by Rittik Roy, Pintu Das. Intern. J. Fuzzy Mathematical Archive, Vol. 8, No.
2, 2015, 11 p. 

Analysis of Machine
Learning Techniques for Intrusion Detection System: A Review,
by Asghar Ali Shah, Malik Sikander Hayat, Muhammad Daud Awan. International
Journal of Computer Applications, Volume 119, No.3, June 2015, 12 p.


Analysis of the General
Hazards and Health Hazards Suffered by the Locals of Kodungaiyur Using
Specially Linked Merged Fuzzy Cognitive Maps (SLMFCMs) Model,
by K. Thulukkanam, R. Vasuki. Ultra Scientist Vol. 27(1)B, 2015, 8 p. 

An approach to neutrosophic
subgroup and its fundamental properties,
by Vidan Cetkin, Halis Aygun. Journal of Intelligence&Fuzzy Systems, 2015, 7
p. 

A New Measure of Divergence
with its Application to MultiCriteria Decision Making under Fuzzy Environment,
by Shikha Maheshwari, Rajkumar Verma, Amit Srivastava, 24 p. 

A multicriteria
decisionmaking approach based on Choquet integralbased TOPSIS with
simplified neutrosophic sets,
by Juanjuan Peng, Jianqiang Wang, Chao Tian, Xiaohui Wu, Xiaohong Chen. 38
p. 

A study on symptoms of
stress on college students using combined disjoint block fuzzy cognitive maps
(CDBFCM),
by G. Anusha, P. Venkata Ramana. Int. J. Adv. Appl. Math. And Mech. 2(3),
2015, 6 p.


Bidirectional projection
method for multiple attribute group decision making with neutrosophic numbers,
by Jun Ye, 14 p. 

BiLevel, MultiLevel
Multiple Criteria Decision Making and Topsis ApproachTheory, Applications and
Software: A Literature Review (20052015),
by Tarek H. M. AbouElEnien, Shereen Fathy ElFeky. Global Journal of
Advanced Research. Vol 2, 17 p. 

Bipolar Interval
Neutrosophic Set and Its Application in Multicriteria Decision Making,
by Tahir Mahmood, Jun Ye, Qaisar Khan, 16 p. 

Correlated Aggregating
Operators for Simplified Neutrosophic Set and their Application in
MultiAttribute Group Decision Making,
by Chunfang Liu, Yue Sheng Luo. 10 p. 

Correlation Coefficients of
Neutrosophic Sets by Centroid Method,
by I. M. Hanafy, A. A. Salama, K. M. Mahfouz. International Journal of
Probability and Statistics, 2013, 5 p. 

Crossentropy measure on
interval neutrosophic sets and its applications in Multicriteria decision
making,
by Ridvan Sahin. 13 p. 

Distance based similarity
measures for intervalvalued intuitionistic fuzzy soft sets and its
application,
by Anjan Mukherjee, Sadhan Sarkar, 10 p. 

Efficient linkbased
similarity search in web networks,
by Mingxi Zhang, Hao Hu, Zhenying He, Liping Gao, Liujie Sun. Expert Systems
with Applications, 2015, 14 p. 

Fault diagnoses of steam
turbine using the exponential similarity measure of neutrosophic numbers,
by Jun Ye, 12 p. 

Framework for Segmentation
of SAR imagery based on NSCT and IABC Algorithm,
by Mangalraj P., Anupam Agrawal, 30 p. 

Generalized Neutrosophic
Soft Set,
by Said Broumi. International Journal of Computer Science, Engineering and
Information Technology (IJCSEIT), Vol.3, No.2, Aprilie 2013, 14 p. 

Image DeNoising
Techniques: A Review Paper,
by Sarbjit Kaur, Er. Ram Singh. International Journal for Technological
Research in Engineering, Volume 2, Issue 8, April2015. 5 p. 

Improved cosine similarity
measures of simplified intuitionistic sets for medicine diagnoses,
by Jun Ye, 25 p. 

Interval Neutrosophic MST
Clustering Algorithm and Its an Application to Taxonomy,
by Ridvan Sahin, 20 p. 

Interval Neutrosophic
MultiAttribute DecisionMaking Based on Grey Relational Analysis,
by Surapati Pramanik, Kalyan Mondal, 16 p. 

Interval Neutrosophic Sets,
by Haibin Wang, Praveen Madiraju, Yanqing Zhang, Rajshekhar. [math.GM] 7 Sep
2004, 16 p. 

Intervalvalued
neutrosophic soft sets and its decision making,
by Irfan Deli. [math.GM] 23 Feb 2014, 24 p. 

Linear weighted averaging
method on SVNsets and its sensitivity analysis based on multiattribute
decision making problems,
by Irfan Deli, 15 p. 

Maximizing deviation method
for neutrosophic multiple attribute decision making with incomplete weight
information,
by Ridvan Sahin, Peide Liu, 13 p. 

Multicriteria Decision
Making Method Based on Crossentropy with Interval Neutrosophic Sets,
by Jianqiang Wang, Zhangpeng Tian, 24 p. 

Multicriteria neutrosophic
decision making method based on score and accuracy functions under
neutrosophic environment,
by Ridvan Sahin, 9 p. 

Multiobjective
optimization problem of system reliability under intuitionistic fuzzy set
environment using Cuckoo Search algorithm,
by Harish Garg. Journal of Intelligence&Fuzzy Systems, 2015, 17 p. 

Multiple attribute decision
making method based on some normal neutrosophic Bonferroni mean operators,
by Peide Liu, Honggang Li, 20 p. 

Multiple attribute group
decision making method based on neutrosophic number generalized hybrid
weighted averaging operator,
by Peide Liu, Fei Teng, 23 p. 

Multiple attribute group
decision making method based on neutrosophic number generalized hybrid
weighted averaging operator,
by Peide Liu, Fei Teng, 19 p. 

Neutrosophic Concept
Lattice Based Approach for Computing Human Activities from Contexts,
by Sangeeta Mittal, Krishna Gopal, S.L. Maskara. International Journal On
Smart Sensing and Intelligent Systems, Vol. 8, No. 3, September 2015, 29 p. 

Neutrosophic information in
the framework of multivalued representation,
by Vasile Patrascu. The 21th Conference on Applied and Industrial Mathematics,
CAIM 2013, 19th22nd September 2013, Bucharest, Romania, 10 p. 

Neutrosophic soft sets and
neutrosophic soft matrices based on decision making,
by Irfan Delia, Said Broumi. [math.GM] 2 Apr 2014, 28 p. 

Neutrosophic soft sets with
applications in decision making,
by Faruk Karaaslan. [cs.AI] 2 Jun 2014, 23 p. 

On some similarity measures
and entropy on quadripartitioned single valued neutrosophic sets,
by Rajashi Chatterjee, P. Majumdar, S. K. Samanta, 2015, 9 p. 

Representation of a
Sentence using a Polar Fuzzy Neutrosophic Semantic Net,
by Sachin Lakra, T. V. Prasad, G. Ramakrishna. (IJACSA) International Journal
of Advanced Computer Science and Applications, Special Issue on Natural
Language Processing 2014, 8 p. 

Rough sets in Fuzzy
Neutrosophic approximation space,
by C. Antony Crispin Sweety, I. Arockiarani, 16 p. 

Row and ColumnMaxAverage
Norm and MaxMin Norm of Fuzzy Matrices,
by Suman Maity. Progress in Nonlinear Dynamics and Chaos, Vol. 3, No. 1,
2015,15 p. 

Similarity Measure Between
Possibility Neutrosophic Soft Sets and Its Applications,
by Faruk Karaaslan. U.P.B. Sci. Bull., 10 p. 

Singlevalued neutrosophic
similarity measures based on cotangent function and their application in the
fault diagnosis of steam turbine,
by Jun Ye. Methodologies and Applications, 2015, 9 p. 

Some Neutrosophic Uncertain
Linguistic Number Heronian Mean Operators and Their Application to
MultiAttribute Group Decision Making,
by Peide Liu, Lanlan Shi, 25 p. 

Some weighted aggregation
operators of trapezoidal neutrosophic numbers and their multiple attribute
decision making method,
by Jun Ye, 14 p. 

Study of Problems Faced by
Parents of Children with Disability Using Fuzzy Cognitive Maps Model,
by S. Udayakumar, A. Gurumoorthy. Ultra Scientist Vol. 27(1)B, 2015, 5 p. 

Survey on Intelligent Data
Repository Using Soft Computing,
by A. Prema, A. Pethalakshmi. International Journal of Computer Science Trends
and Technology (IJCST), Volume 3 Issue 5, SepOct 2015, 20 p. 

The generalized Dice
measures for multiple attribute decision making under simplified neutrosophic
environments,
by Jun Ye, 14 p.


The Generalized Hybrid
Weighted Average Operator Based on Interval Neutrosophic Hesitant Set and Its
Application to Multiple Attribute Decision Making,
by Peide Liu, Lanlan Shi, 24 p. 

The Neutrosophic Entropy
and its Five Components,
by Vasile Pătraşcu. Neutrosophic Sets and Systems, Vol. 7, 2015, 7 p. 

The Neutrosophic Number
Generalized Weighted Power Averaging Operator and Its Application in Multiple
Attribute Group Decision Making,
by Peide Liu, Xi Liu, 23 p. 

Two New Fuzzy Models Using
Fuzzy Cognitive Maps Model and Kosko Hamming Distance,
by K. Thulukkanam, R. Vasuki. Ultra Scientist Vol. 27(1)B, 2015, 13 p. 

Weighted Fuzzy Similarity
Measure Based on Tangent Function and its Application to Medical Diagnosis,
by Surapati Pramanik, Kalyan Mondal. International Journal of Innovative
Research in Science, Engeneering and Technology, vol. 4, February 2015, 9 p.
·
A
Fast Massively Parallel Fuzzy CMeans Algorithm for Brain MRI Segmentation,
by Mohamed Youssfi, Omar Bouattane, Mohammed Ouadi Bensalah, Bouchaib Cherradi.
In Wulfenia Journal, nr. 1, Jan, 2015, 19 p.
·
A Fully Automatic Breast Ultrasound Image Segmentation Approach Based On
NeutroConnectedness,
by Min Xian, H. D. Cheng, Yingtao Zhang. 22nd Internatioanal Conference on
Pattern Recognition, 2014, 6 p.
·
A Fuzzy Neutrosophic Soft Set Model in Medical Diagnosis,
by I. Arockiarani, 2014, 8 p.
·
A method of ranking interval numbers based on degrees for multiple attribute
decision making,
by Yicheng Ye, Nan Yao, Qiaozhi Wang and Qihu Wang. In Journal of
Intelligent & Fuzzy Systems, 11 p.
·
A Modified Fuzzy C Means Clustering using Neutrosophic Logic,
by Nadeem Akhtar, Mohd Vasim Ahamad. Fifth International Conference on
Communication Systems and Network Technologies, 2015, 5 p.
·
An approach to neutrosophic soft rough set and its properties,
by Ashraf AlQurana, Emad Mareib and Nasruddin Hassan, 15 p.
·
An ensemble design of intrusion detection system for handling uncertainty
using Neutrosophic Logic Classifier,
by B. Kavitha, S. Karthikeyan, P. Sheeba Maybell. In KnowledgeBased
Systems, 2012, 9 p.
·
A novel image enhancement approach for Phalanx and Epiphyseal/metaphyseal
segmentation based on hand radiographs,
by ChihYen Chen, TaiShan Liao, ChiWen Hsieh, TzuChiang Liu, HungChun
Chien. 2012, 5 p.
·
A Theorical Point of View of Reality, Perception and Language,
by J. NescolardeSelva, J.L. UsóDoménech, H. Gash, 18 p.
·
Automated Brain Tumor Segmentation on MR Images Based on Neutrosophic Set
Approach,
by Mohan J., Krishnaveni V. and Yanhui Huo. IEEE Sponsored 2nd International
Conference On Electronics And Communication System, 2015, pp. 10781083.
·
Automated breast cancer detection and classification using ultrasound images:
A survey,
by H.D. Cheng, Juan Shan, Wen Ju, Yanhui Guo, Ling Zhang. In Pattern
Recognition No. 43, 2010, pp. 299317.
·
Automatic Cloud Detection Based on Neutrosophic Set in Satellite Images,
by Jeethu Mary Mathew, Surya S.R, Philomina Simon. International Conference on
Control Communication and Computing, 2013, pp. 211215.
·
Automatic tuning of MST segmentation of mammograms for registration and mass
detection algorithms,
by Mariusz Bajger, Fei Ma, Murk J. Bottema. In Digital Image Computing:
Techniques and Applications, 2009, pp. 401407.
·
A web based semi automatic frame work for astrobiological researches,
by P.V. Arun. In The Egyptian Journal of Remote Sensing and Space Sciences,
2013, 7 p.
·
Characterizations of normal parameter reductions of soft sets,
by V. Renukadevi, G. Sangeetha. In Annals of Fuzzy Mathematics and
Informatics, 10 p.
·
Classification using Fuzzy Cognitive Maps & Fuzzy Inference System,
by Kanika Bhutani and Yogita Gigras. In Journal of Basic and Applied
Engineering Research, Volume 2, Number 2, JanuaryMarch, 2015, pp.
159163.
·
Comparing Performance of Interval Neutrosophic Sets and Neural Networks with
Support Vector Machines for Binary Classification Problems,
by Pawalai Kraipeerapun and Chun Che Fung. In Second IEEE International
Conference on Digital Ecosystems and Technologies, 2008, pp. 3437.
·
Correlation coefficients of simplified neutrosophic sets and their multiple
attribute decisionmaking method,
by Jun Ye, pp. 819.
·
Correlation coefficients of single valued neutrosophic hesitant fuzzy sets and
their applications in decision making,
by Ridvan Sahin, Peide Liu, 15 p.
·
Correlation coefficients of single valued neutrosophic refined soft sets and
their applications in clustering analysis,
by Faruk Karaaslan, 23 p.
·
Crossentropy measure on interval neutrosophic sets and its applications in
multicriteria decision making
(Revision form), by Ridvan Sahin. 13 p.
·
Deployment of Neutrosophic Technology to Retrieve Answer for Queries Posed in
Natural Language,
by Meena Arora, Ranjit Biswas. 2010, pp. 435439.
·
Evaluation Schema for SAR image Segmentation based on Swarm Optimization in
Neutrosophic Domain,
by Mangalraj P., Rakesh Singala, Anupam Agrawal, 2014, 6 p.
·
Experimenting with neutrosophic ontologies for medical data classification,
by Kanika Bhutani, Swati Aggarwal, 6 p.
·
Extension to Fuzzy Logic Representation: Moving Towards Neutrosophic Logic  A
New Laboratory Rat,
by A.Q.Ansari, Ranjit Biswas, Swati Aggarwal, 8 p.
·
Externalizing Tacit Knowledge to Discern Unhealthy Nuclear Intentions of
Nation States,
by Suman Rao. In Proceedings of 2008 3rd International Conference on
Intelligent System and Knowledge Engineering, 8 p.
·
Fuzzy Inference System & Fuzzy Cognitive Maps based Classification,
by Kanika Bhutani, Gaurav, Megha Kumar. International Conference on Advances
in Computer Engineering and Applications, 2015, pp. 305309.
·
Fuzzy multicriteria decision making method based on the improved accuracy
function for intervalvalued intuitionistic fuzzy sets,
by Ridvan Sahin. In Soft Comput., 2015, 1 p.
·
Fuzzy Neutrosophic Product Space,
by A.A. Salama, I.R. Sumathi and I. Arockiarani, 15 p.
·
Fuzzy Rough Sets and Its Application in Data Mining Field,
by Megha Kumar and Nidhika Yadav. In Advances in Computer Science and
Information Technology, Volume 2, Number 3, JanuaryMarch, 2015 pp.
237240.
·
Fuzzy Uncertainty Assessment in RBF Neural Networks using neutrosophic sets
for Multiclass Classification,
by Adrian RubioSolis and George Panoutsos. In International Conference on
Fuzzy Systems (FUZZIEEE), July 611, 2014, Beijing, China, pp. 15921598.
·
Hybrid Vector Similarity Measures and Their Applications to Multiattribute
Decision Making under Neutrosophic Environment,
by Surapati Pramanik, Pranab Biswas, Bibhas C. Giri. 31 p.
·
Interval neutrosophic numbers Choquet integral operator for multicriteria
decision making,
by HongXia Suna, HaoXiong Yang, JianZhang Wub and Yao Ouyang. In Journal
of Intelligent & Fuzzy Systems, 28, 2015, pp. 2443–2455.
·
KMean Algorithm for Image Sementation Using Neutrosophy,
by Nadeem Akhtar, Nishi Agarwal, Armita Burjwal.
International Conference on Advances in Computing,Communications and
Informatics, 2014, pp. 24172421.

·
Operators on SingleValued
Neutrosophic Oversets, Neutrosophic Undersets, and Neutrosophic Offsets,
Journal of Mathematics and Informatics, Vol. 5, 6367, 2016.
new
IntervalValued
Neutrosophic Oversets, Neutrosophic Understes, and Neutrosophic Offsets,
International Journal of Science and Engineering Investigations, Vol. 5, Issue
54, 14, July 2016. new
MRI denoising using nonlocal neutrosophic set approach of Wiener filtering,
by J. Mohan, V. Krishnaveni, Yanhui Guo. In Biomedical Signal Processing
and Control, vol. 8, 2013, pp. 779
791.
·
Multicriteria decisionmaking method based on a crossentropy with interval
neutrosophic sets,
by Zhangpeng Tian, Hongyu Zhang, Jing Wang, Jianqiang Wang and Xiaohong
Chen. In International Journal of Systems Science, 2015, 5 p.
·
Multiperiod medical diagnosis method using a single valued neutrosophic
similarity measure based on tangent function,
by Jun Ye and Jing Fu, 23 p.
·
Multiple attribute decisionmaking method under hesitant interval neutrosophic
linguistic environment,
Jun Ye, 26 p.
·
Multiple attribute group decision making method based on neutrosophic number
generalized hybrid weighted averaging operator,
by Peide Liu, Fei Teng, 19 p.
·
Neural Network Ensembles using Interval Neutrosophic Sets and Bagging for
Mineral Prospectivity Prediction and Quantification of Uncertainty,
by Pawalai Kraipeerapun, Chun Che Fung, Warick Brown and KokWai Wong. 2006, 6
p.
·
Neutrosophic Decision Making Model for ClayBrick Selection in Construction
Field Based on Grey Relational Analysis,
by Kalyan Mondal and Surapati Pramanik, 14 p.
Neutrosophic linguistic variables and aggregation operators for multiple
attribute group decision making,
by Jun Ye, 14 p.
·
Neutrosophic Soft MultiAttribute Group Decision Making Based On Grey
Relational Analysis Method,
by Partha Pratim Dey, Surapati Pramanik, Bibhas C. Giri, 22 p.
·
On Neutrosophic Topologies,
by Francisco Galleno Lupianez. In Kibernetes, vol. 37, 2008, pp.
797800.
·
Opinion and Persuasion,
by Ioan Constantin Dima, Daniela Gifu. In International Letters of Social
and Humanistic Sciences, Vol 33, 2014, pp. 7784.
·
Optimized Unsupervised Image Classification Based on Neutrosophic Set Theory,
by A.E. Amin. In International Journal of Engineering Research & Technology
(IJERT), Vol. 3 Issue 12, December 2014, pp. 513526.
·
Parallel cmeans algorithm for image segmentation on a reconfigurable mesh
computer,
by Omar Bouattane, Bouchaib Cherradi, Mohamed Youssfi, Mohamed O. Bensalah. In
Parallel Computing, nr. 37, 2011, pp. 230243.
·
Plants Leaves Images Segmentation Based on Pseudo Zernike Moments,
by Ali Behloul, Soundous Belkacemi.
In I.J. Image, Graphics and Signal Processing, 2015, 7, pp. 1723.
Reality Checks for a Distributional Assumption: The Case of Benford Law,
by William M. Goodman. In JSM 2013  Business and Economic Statistics
Section, pp. 27892803.
·
Reasoning about actions with imprecise and incomplete state descriptions,
by Celia da Costa Pereira, Andrea G.B.Tettamanzi. In Fuzzy Sets and Systems,
160, 2009, pp.13831401.
·
Recent developments in natural computation,
by
Jing Tao Yao, Qingfu Zhang, Jingsheng Lei. In NeuroComputing, nr.72,
2009, pp. 2833–2834.
· Red Teaming Military Intelligence
 A New Approach based on Neutrosophic
Cognitive Mapping,
by Suman Rao, 2011, pp. 622627.
· Rough Sets in Neutrosophic Approximation Space,
by C. Antony Crispin Sweety, I. Arockiarani.
In Annals of Fuzzy Mathematics and Informatics, 24 p.
· Simplified neutrosophic exponential similarity measures for the initial
evaluation/diagnosis of benign prostatic hyperplasia symptom,
by Jing Fu, Jun Ye, 17 p.
· Single valued neutrosophic minimum spanning tree and its clustering method,
by Jun Ye. In Journal of Intelligent Systems, pp. 428.
·
Special issue on granular soft computing for pattern recognition and mining,
by Sankar K. Pal, Saroj K. Meher. In Applied Soft Computing, 2013, 2 p.
The Extended VIKOR Method for Multiple Criteria Decision Making Problem Based
on Neutrosophic Hesitant Fuzzy Set,
by Peide Liu, Lili Zhang, 13 p.
Thermogram Breast Cancer Prediction Approach based on Neutrosophic Sets and
Fuzzy CMeans Algorithm,
by Tarek Gaber, Gehad Ismail, Ahmed Anter, Mona Soliman, Mona Ali, Noura
Semary, Aboul Ella Hassanien, Vaclav Snasel, 2015, pp 42544257.
TOPSIS method for multiattribute group decision making under singlevalued
neutrosophic environment,
by Pranab Biswas, Surapati Pramanik, Bibhas C. Giri, 37 p.
Trapezoidal neutrosophic set and its application to multiple
attribute decision making,
Jun Ye, Neural Comput & Applic (2015)
26:1157–1166;
DOI 10.1007/s0052101417876.
Brain Tumor Segmentation using hybrid of both Netrosopic
Modified Nonlocal Fuzzy Cmean and Modified Level Sets, by Shaima Elnazer,
Mohamed Morsy,
Mohy Eldin A.AboElsoud, International Journal
of Science and Research (IJSR), Vol. 5, Issue 2, February 2016.
Definitions Derived from
Neutrosophics, by F. Smarandache,
Multiple Valued Logic / An
International Journal>, USA, ISSN 10236627, Vol. 8, No. 56, pp. 591604,
2002.
Degrees of Membership > 1 and < 0 of the Elements With Respect to a Neutrosophic
OffSet,
by Florentin Smarandache:
Neutrosophic Sets and Systems, vol. 12, 2016, pp. 38.
NSS Neutrosophic Articles
SEMINARS
ON NEUTROSOPHICS:
Neutrosophic Set and Logic / Interval Neutrosophic Set and Logic / Neutrosophic
Probability and Neutrosophic Statistics / Neutrosophic Precalculus and Calculus
/ Symbolic Neutrosophic Theory / Open Challenges of Neutrosophic Set,
lecture series, by F. Smarandache, Nguyen Tat Thanh University, Ho Chi Minh
City, Vietnam, 31^{st} May  3^{th} June 2016.
Neutrosophic
Set and Logic / Interval Neutrosophic Set and Logic / Neutrosophic Probability
and Neutrosophic Statistics / Neutrosophic Precalculus and Calculus / Symbolic
Neutrosophic Theory / Open Challenges of
Neutrosophic Set,
by F. Smarandache, Ho Chi Minh City University of Technology (HUTECH), Ho Chi
Minh City, Vietnam, 30^{th} May 2016.
Neutrosophic Set and Logic / Interval Neutrosophic Set and
Logic / Neutrosophic Probability and Neutrosophic Statistics / Neutrosophic
Precalculus and Calculus / Symbolic Neutrosophic Theory / Open Challenges of
Neutrosophic Set,
lecture series, by F. Smarandache, Vietnam national University, Vietnam
Institute for Advanced Study in Mathematics, Hanoi, Vietnam, lecture series, 14^{th}
May – 26^{th} May 2016.
Foundations of
Neutrosophic Logic and Set and their Applications to Information Fusion,
by F.
Smarandache, Hanoi University, 18^{th} May 2016.
Neutrosophic Theory and Applications,
by F.
Smarandache, Le Quy Don Technical University, Faculty of Information technology,
Hanoi, Vietnam, 17^{th} May 2016.
Applications of
Neutrosophic Set and Logic in Medicine (Diagnoses; Decision Making; Images
Segmentations,
Denoising,
Enhancement, Thresholding and Processing),
by F. Smarandache, short opening video speech, 2^{nd} International
Scientific Nursing Conference, Faculty of Nursing, PortSaid University, Egypt,
20 April 2016.
Nursing Researches & Neutrosophic Techniques,
by A. Salama, F. Smarandache, 2^{nd} International Scientific Nursing
Conference, Faculty of Nursing, PortSaid University, Egypt, 20 April 2016.
Bipolar Neutrosophic Sets and their Application Based on
MultiCriteria Decision Making Problems
[poster], by Irfan
Deli, Mumtaz Ali, Florentin Smarandache, Proceedings of the 2015 International
Conference on Advanced Mechatronic Systems, Beijing, China, August 2224, 2015.
Types of Neutrosophic
Graphs and neutrosophic Algebraic Structures together with their Applications in
Technology,
by F. Smarandache, Universitatea Transilvania din Brasov, Facultatea de Design
de Produs si Mediu, Brasov, Romania, 06 June 2015.
(T,
I, F)Neutrosophic Structures,
Annual Symposium of the Institute of Solid Mechanics,
by F. Smarandache, SISOM 2015, Robotics and Mechatronics. Special Session and
Work Shop on VIPRO Platform and RABOR Rescue Robots, Romanian Academy,
Bucharest, 2122 May 2015.
Neutrosophic Soluble Groups, Neutrosophic Nilpotent Groups and Their Properties,
by Mumtaz Ali & Florentin Smarandache, Annual Symposium of the Institute of
Solid Mechanics, SISOM 2015, Robotics and Mechatronics. Special Session and Work
Shop on VIPRO Platform and RABOR Rescue Robots, Romanian Academy, Bucharest,
2122 May 2015.
Foundations of Neutrosophic Logic and Set Theory
and their Applications in Science. Neutrosophic Statistics and Neutrosophic
Probability. nValued Refined Neutrosophic Logic, by F. Smarandache, Universidad
Complutense de Madrid, Facultad de Ciencia Matematicas, Departamento de
Geometria y Topologia, Instituto Matematico Interdisciplinar (IMI), Madrid,
Spain, 9th July 2014.
 Foundations of
Neutrosophic set and Logic and Their Applications to Information Fusion,
by F. Smarandache, Osaka University, Inuiguchi Laboratory, Department of
Engineering Science, Osaka, Japan, 10 January 2014.. 
 Foundations of
Neutrosophic set and Logic and Their Applications to Information Fusion,
by F. Smarandache, Okayama University of Science, Kroumov Laboratory,
Department of Intelligence Engineering, Okayama, Japan, 17 December 2013. 

An
Introduction to Information Fusion Level 1 and to Neutrosophic Logic/Set with
Applications,
ENSIETA (National Superior School of Engineers and the Study of Armament),
Brest, France, 2 July 2010. 

An Introduction to Fusion Level 1 and to Neutrosophic
Logic/Set with Applications,
presented by F. Smarandache at Air Force Research Laboratory, in Rome, NY,
USA, July 29, 2009. 

An Introduction to Neutrosophic Logic in Arabic
Philosophy, presented by F. Smarandache & Salah Osman, Minufiya
University, Shebin Elkom, Egypt, 17 December 2007. 

A Neutrosophic Description Logic,
by Haibin Wang, Florentin Smarandache, Andre Rogatko, Rajshekhar Sunderraman,
2006 IEEE International Conference on Granular Computing, Georgia State
University, Atlanta, USA, May 11, 2006. 

An Introduction to Neutrosophic Logic and Set,
by F. Smarandache, Invited Speaker at and sponsored by University Kristen
Satya Wacana, Salatiga, Indonesia, May 24, 2006. 

An Introduction to
Neutrosophic Logic and Set,
by F. Smarandache, Invited Speaker at and sponsored by University Sekolah
Tinggi Informatika & Komputer Indonesia, Malang, Indonesia, May 19, 2006. 

Neutrosophic
Set 
A Generalization
of the Intuitionistic Fuzzy Set,
by F. Smarandache (Chair of the Session on Soft Computing), 2006 IEEE
International Conference on Granular Computing, Georgia State University,
Atlanta, USA, May 11, 2006. 

Introduction to Neutrosophics and their Applications,
by F. Smarandache, Invited speaker at Pushchino Institute of Theoretical and
Experimental Biophysics, Pushchino (Moscow region), Russia, August 9, 2005. 

To be and Not to be  An Introduction to
Neutrosophy: A Novel Decision Paradigm, by F. Smarandache & S.
Bhattacharya, Invited speakers at and sponsored by Jadavpur University,
Seminar at the Institute of Business Management, National Council of
Education, Kolkata, India, December 23, 2004.



Generalization of the Intuitionistic Fuzzy Set to the
Neutrosophic Set, by F. Smarandache & M. Khoshnevisan, 2003 BISC FLINTCIBI
International Workshop on Soft Computing for Internet and Bioinformatics,
University of Berkeley, December 1519, 2003. 

Neutrosophic Logic Operators, by F. Smarandache,
International Congress of Mathematicians, Beijing, China, 2028 August 2002. 

A Unifying Field in Logics: Neutrosophic Logic. /
Neutrosophic Probability, Neutrosophic Set, by F. Smarandache,
American Mathematical Society Meeting, University of California at Santa
Barbara, USA, March 11, 2000.




Neutrosophic Probability, Set, and Logic, by F.
Smarandache, Second Conference of the Romanian Academy of Scientists, American
Branch, New York City, USA, February 2, 1999. 
NEUTROSOPHIC SUBJECTS FOR FUTURE RESEARCH:

Neutrosophic
topologies, including neutrosophic metric spaces and smooth topological
spaces. 

Neutrosophic
numbers (a+bI, where I = indeterminate and I^2 = I,
mI+nI=(m+n)I, 0I = 0, and a, b are real or complex numbers) and
arithmetical operations, including ranking procedures for neutrosophic
numbers. 

Neutrosophic
rough sets. 

Neutrosophic
relational structures, including neutrosophic relational equations,
neutrosophic similarity relations, and neutrosophic ordering. 

Neutrosophic geometry (Smarandache geometries). 

Neutrosophic
probability. 

Neutrosophic
logical operations, including nnorms, nconorms, neutrosophic implicators,
neutrosophic quantifiers. 

Measures of
neutrosophication. 
Neutrosophic
soft algebraic structures.
Neutrosophic
triplet structures.
Neutrosophic
models.
Neutrosophic
matrix, bimatrix, ..., nmatrix.

Neutrosophic graph, which is a graph that has at least one indeterminate
edge or one indeterminate node. 

Neutrosophic tree,
which is a tree that has at least one
indeterminate edge or one indeterminate node. 
Neutrosophic
fusion rules for information fusion.

Applications:
neutrosophic relational databases, neutrosophic image (thresholding,
denoising, segmentation) processing,
neutrosophic linguistic variables,
neutrosophic decision making and preference structures, neutrosophic expert
systems, neutrosophic reliability theory, neutrosophic soft computing
techniques in ecommerce and elearning, image segmentation, etc. 
WEBINARS ON NEUTROSOPHICS:
A Perspective Shift from Fuzzy Logic to Neutrosophic
Logic, by Dr. Swati Aggarwal, winner of the 2015 IEEE CIS Webinar
Competition for Students and Professionals  Real World Applications and
Emerging Topics in Computational Intelligenceat
https://youtu.be/WryVUv5Bq98
A Neutrosophic Recommender System for Medical
Diagnosis Based on Algebraic Neutrosophic Measures
http://se.mathworks.com/matlabcentral/fileexchange/55239aneutrosophicrecommendersystemformedicaldiagnosisbasedonalgebraicneutrosophicmeasures
Special session
Moving Towards Neutrosophic Logic, organized by Swati Aggarwal,
at the IEEE FUZZIEEE35 World Congress on Computational Intelligence,
Vancouver, Canada, 2529 July 2016.
NEUTROSOPHIC SETS AND SYSTEMS (international journal):
2013 (Vol.
1); 2014 (Vol.
2;
Vol. 3;
Vol. 4;
Vol. 5;
Vol. 6); 2015 (Vol.
7;
Vol. 8;
Vol. 9;
Vol. 10); 2016 (Vol.
11;
Vol. 12;
new);
Critical Review: 2015 (Vol.
9; Vol. 10;
Vol. 11;
Vol. 12
new).
NEUTROSOPHIC SCIENCE INTERNATIONAL ASSOCIATION
