Call for Book-Chapters for the collective book Algebraic Structures in the Universe of Neutrosophic: Analysis with Innovative Algorithmic Approaches, Editors: Prof. Dr. Memet Şahin, Assoc. Prof. Dr. Derya BAKBAK, Assoc. Prof. Dr. Vakkas ULUCAY, Assist. Prof. Dr. Abdullah Kargın.
Submission Deadline: July 15th 2024,
and I / I is undefined,
which is different from the numerical indeterminacy I = real set),
with I-Neutrosophic Algebraic Structures
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
(t,i,f)-Neutrosophic Graphs
and the
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 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
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
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 + … + anPn
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 used in building of Neutrosophic Numbers 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
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.
February 6th, 2024 
Daniela Lopez de Luise 
Posted in Congress 
