Call for chapters on New Trends in Neutrosophic Theories and Applications

      Call for Chapters
for the collective book “New Trends in Neutrosophic Theories and Applications”, Vol. 4, Editors: Prof. Dr. F. Smarandache, and Dr. S. Pramanik (India):
 
Submission Deadline: 31st December 2024, by
email to
smarand@unm.edu” target=”_blank”>smarand@unm.edu and sura_pati@yahoo.co.in” target=”_blank”>sura_pati@yahoo.co.in 
Publication date: January 2025 
 
The book will be open-source. 
No publication fees.  
  
Several TOPICS 
Neutrosophy as a philosophy extending the Paradoxism, the Dialectics, the Yin-Yang ancient Chinese philosophy, the Manichaeism, and in general the Dualism,
http://fs.unm.edu/Neutrosophy-A-New-Branch-of-Philosophy.pdf

Neutrosophic set/logic/probability/statistics;

http://fs.unm.edu/eBook-Neutrosophics6.pdf (online sixth edition) 
 Nonstandard Neutrosophic Logic, Set, Probability https://arxiv.org/ftp/arxiv/papers/1903/1903.04558.pdf https://fs.unm.edu/AdvancesOfStandardAndNonstandard.pdf

Neutrosophic Numbers 

(a+bI, where I = literal indeterminacy, I^2 = I, which is
different from the numerical indeterminacy I = real set)

I-Neutrosophic Algebraic Structures and
Neutrosophic Cognitive Maps
https://arxiv.org/ftp/math/papers/0311/0311063.pdf
http://fs.unm.edu/NCMs.pdf

Interval Neutrosophic Set/Logic
https://arxiv.org/pdf/cs/0505014.pdf
http://fs.unm.edu/INSL.pdf

Degree of Dependence and Degree of Independence between the Neutrosophic Components T, I, F.
http://fs.unm.edu/NSS/DegreeOfDependenceAndIndependence.pdf
 

 Neutrosophic Overset (when some neutrosophic component is > 1), since  for example, an employee working overtime deserves a degree of
membership > 1, with respect to an employee that only works regular
full-time 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.
https://arxiv.org/ftp/arxiv/papers/1607/1607.00234.pdf
http://fs.unm.edu/NeutrosophicOversetUndersetOffset.pdf
http://fs.unm.edu/SVNeutrosophicOverset-JMI.pdf
http://fs.unm.edu/IV-Neutrosophic-Overset-Underset-Offset.pdf
http://fs.unm.edu/NSS/DegreesOf-Over-Under-Off-Membership.pdf 
Neutrosophic Tripolar Set and Neutrosophic
Multipolar Set
and consequently the Neutrosophic Tripolar
Graph
and Neutrosophic Multipolar Graph
http://fs.unm.edu/eBook-Neutrosophics6.pdf (p. 93)
http://fs.unm.edu/IFS-generalized.pdf

Neutrosophic Measure and Neutrosophic Probability
( chance that an event occurs, indeterminate chance of occurrence,
chance that the event does not occur )

https://arxiv.org/ftp/arxiv/papers/1311/1311.7139.pdf
http://fs.unm.edu/NeutrosophicMeasureIntegralProbability.pdf

Refined / Split the Neutrosophic Components (T, I, F) 

into Neutrosophic SubComponents (T1, T2, …; I1, I2, …; F1, F2, …):
https://arxiv.org/ftp/arxiv/papers/1407/1407.1041.pdf
http://fs.unm.edu/n-ValuedNeutrosophicLogic-PiP.pdf

Law of Included Multiple-Middle (as extension of the Law of Included Middle):  (<A>; <neutA1>, <neutA2>, …, <neutAn>; <antiA>); http://fs.unm.edu/LawIncludedMultiple-Middle.pdf 

and the Law of Included Infinitely-Many-Middles: 
(<A>; <neutA1>, <neutA2>, …, <neutAinfinity>;
<antiA>)
https://fs.unm.edu/NSS/LawIncludedInfinitely1.pdf 
Neutrosophic Statistics (indeterminacy is introduced into classical statistics with respect to any data regarding the sample / population, probability distributions / laws / graphs / charts etc.,
with respect to the individuals that only partially belong to a sample /
population, and so on):

https://arxiv.org/ftp/arxiv/papers/1406/1406.2000.pdf
http://fs.unm.edu/NeutrosophicStatistics.pdf

 Extension of the Analytical Hierarchy Process (AHP) 

Neutrosophic Precalculus and Neutrosophic Calculus
https://arxiv.org/ftp/arxiv/papers/1509/1509.07723.pdf
http://fs.unm.edu/NeutrosophicPrecalculusCalculus.pdf

Refined Neutrosophic Numbers
(a+ b
1I1 + b2I2 + … + bnIn),
where I
1, I2, …, In are
Sub-Indeterminacies of Indeterminacy I.
 

 (t,i,f)-Neutrosophic Graphs  Thesis-AntiThesis-NeutroThesis, and NeutroSynthesis, Neutrosophic Axiomatic System, neutrosophic dynamic systems, symbolic neutrosophic logic,
(t, i, f)-Neutrosophic Structures, 
I-Neutrosophic Structures, 
Refined Literal Indeterminacy, Quadruple Neutrosophic Algebraic Structures, Multiplication Law of SubIndeterminacies, 
and Neutrosophic Quadruple Numbers 
of the form a + bT + cI + dF, where T, I, F are literal neutrosophic components, and a, b, c, d are real or complex numbers:
https://arxiv.org/ftp/arxiv/papers/1512/1512.00047.pdf
http://fs.unm.edu/SymbolicNeutrosophicTheory.pdf
 
 Addition, Multiplication, Scalar Multiplication, Power, Subtraction, and
Division of Neutrosophic Triplets
(T, I, F) https://fs.unm.edu/CR/SubstractionAndDivision.pdf 
Neutrosophic Multisets (as generalization of classical multisets)
http://fs.unm.edu/NeutrosophicMultisets.htm

Neutrosophic Triplet Structures and
m-valued refined neutrosophic triplet structures

http://fs.unm.edu/NeutrosophicTriplets.htm

Neutrosophic Duplet Structures
http://fs.unm.edu/NeutrosophicDuplets.htm 

 
Neutrosophic Score, Accuracy, and Certainty Functions form a
total order relationship on the set of (single-valued, interval-valued, and in
general subset-valued) neutrosophic triplets (T, I, F); and these functions are used in MCDM (Multi-Criteria Decision Making):
http://fs.unm.edu/NSS/TheScoreAccuracyAndCertainty1.pdf 
 
Theory of Neutrosophic Evolution: Degrees of Evolution, Indeterminacy or Neutrality, and Involution (as extension of Darwin's Theory of
Evolution):

http://fs.unm.edu/neutrosophic-evolution-PP-49-13.pdf 
       
The Law that:
It Is Easier to Break from Inside than from Outside a
Neutrosophic Dynamic System
:
http://fs.unm.edu/EasierMaiUsor.pdf 
        
New types of soft sets: HyperSoft Set, IndetermSoft Set, IndetermHyperSoft
Set, SuperHyperSoft Set, TreeSoft Set
: http://fs.unm.edu/TSS/NewTypesSoftSets-Improved.pdf  
https://fs.unm.edu/NSS/IndetermSoftIndetermHyperSoft38.pdf (with IndetermSoft Operators acting on IndetermSoft Algebra) 
Neutrosophic Psychology (Neutropsyche, Refined Neutrosophic Memory: conscious, aconscious, unconscious, Neutropsychic Personality, Eros / Aoristos / Thanatos, Neutropsychic Crisp Personality):
http://fs.unm.edu/NeutropsychicPersonality-ed3.pdf

Theory of Spiral Neutrosophic Human Evolution http://fs.unm.edu/SpiralNeutrosophicEvolution.pdf 

Neutrosophic Sociology (NeutroSociology) [neutrosophic
concept, or (T, I, F)-concept, is a concept that is T% true, I% indeterminate,
and F% false]:
http://fs.unm.edu/Neutrosociology.pdf 
Refined Neutrosophic Crisp Set http://fs.unm.edu/RefinedNeutrosophicCrispSet.pdf 
        
New types of topologies: NonStandard Topology, Largest Extended NonStandard Real Topology, Neutrosophic Triplet Weak/Strong Topologies, Neutrosophic Extended Triplet Weak/Strong Topologies, Neutrosophic Duplet Topology,
Neutrosophic Extended Duplet Topology, Neutrosophic MultiSet Topology,
NonStandard Neutrosophic Topology, NeutroTopology, AntiTopology, Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology,
SuperHyperTopology,
and Neutrosophic SuperHyperTopology: 
        
Generalization of the classical Algebraic Structures to NeutroAlgebraic
Structures (or
NeutroAlgebras)  {whose operations and
axioms are partially true, partially indeterminate, and partially false}
 
as extensions of Partial Algebra, and
to AntiAlgebraic Structures (or AntiAlgebras) {whose operations and
 
axioms are totally false}. 
And, in general, he extended any
classical Structure, in no matter what field of knowledge, to a
 
NeutroStructure and an
AntiStructure:  
 
       NeutroGeometry & AntiGeometry as alternatives and generalizations of the Non-Euclidean Geometries.  
While the Non-Euclidean Geometries resulted from the total negation of only one specific axiom (Euclid’s Fifth Postulate), 
the AntiGeometry results from the total negation of any axiom 
and even of more axioms from any
geometric axiomatic system (Euclid’s, Hilbert’s, etc.), and the
 
NeutroAxiom results from the partial
negation of one or more axioms [and no
total negation of no axiom] from 
any geometric axiomatic
system.     
 
   
 Extension of HyperGraph to SuperHyperGraph
and Neutrosophic SuperHyperGraph
 
  
  
Neutrosophic Number Theory (Abobala) 
       
Real Examples of NeutroGeometry and AntiGeometry:
 
  
Plithogenic Logic as a generalization of MultiVariate Logic 
       
Plithogenic Probability and Statistics as generalizations of MultiVariate Probability and Statistics respectively
 
 
AH-isometry f(x+yI) = f(x) + I[f(x+y) – f(x)] 
and foundation of the
Neutrosophic Euclidean Geometry (by Abobala & Hatip)
 
       
SuperHyperAlgebra & Neutrosophic SuperHyperAlgebra
 
       
SuperHyperFunction, SuperHyperTopology
 
        
Symbolic Plithogenic Algebraic Structures built on the set of Symbolic Plithogenic Numbers of the form 
a0 + a1P1 + a2P2 + … + anP
where the multiplication Pi·Pj is based on the prevalence order and absorbance law http://fs.unm.edu/NSS/SymbolicPlithogenicAlgebraic39.pdf 
        
Neutrosophic Cryptology (Merkepci-Abobala-Allouf) 
       
MultiNeutrosophic Set
(a neutrosophic set whose elements' degrees T, I, F are evaluated by multiple sources): 
Appurtenance Equation, Inclusion Equation,
& Neutrosophic Numbers used in Neutrosophic Statistics
 
 
MultiAlism System of Thought (an open dynamic system of many opposites, with their neutralities or indeterminacies, formed by elements from many systems): 
 SuperHyperStructure and Neutrosophic SuperHyperStructure 
  
 Appurtenance Equation, Inclusion Equation,
& Neutrosophic Numbers used in Neutrosophic Statistics 
  
SuperHyperStructure and Neutrosophic SuperHyperStructure 
  
Zarathustra & Neutrosophy 
The Principles of (Partial Locality, Partial Indeterminacy, Partial NonLocality)
and (Multi Locality,  Multi Indeterminacy, Multi NonLocality)
 
Neutrosophy Transcends Binary Oppositions in Mythology and Folklore 
Neutrosophy means: Common Parts to Uncommon Things 
and Uncommon Parts to Common Things 
Upside-Down Logics: Falsification of the Truth &
Truthification of the False
 
 
Neutrosophic (and fuzzy-extensions) TwoFold Algebra 
  
Applications in:

Artificial Intelligence, Information Systems, Computer Science, Cybernetics,
Theory Methods, Mathematical Algebraic Structures, Applied Mathematics,
Automation, Control Systems, Big Data, Engineering, Electrical, Electronic;
 
Philosophy, Social Science, Psychology, Biology,
Biomedical, Genetics, Engineering, Medical Informatics, Operational Research,
Management Science, Imaging Science, Photographic Technology, Instruments,
Instrumentation, Physics, Optics, Economics, Mechanics, Neurosciences,
Radiology Nuclear, Medicine, Medical Imaging, Interdisciplinary Applications,
Multidisciplinary Sciences, etc.
  

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