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):
Publication date: January 2025
The book will be open-source.
No publication fees.
Several TOPICS
(a+bI, where I = literal indeterminacy, I^2 = I, which is
different from the numerical indeterminacy I = real set)
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
and the Law of Included Infinitely-Many-Middles:
(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
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,
& 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.
October 31st, 2024 
Daniela Lopez de Luise 
Posted in Congress 
