Special Issue: Neutrosophical Advancements and Their Impact on Research
At the international journal Neutrosophic Sets and Systems (NSS).
The NSS journal is in SCOPUS.
No Publication Fees.
Suitable Topics:
· Advanced theoretical developments under Neutrosophical approaches.
· Innovative modeling with Neutrosophical approaches.
· Neutrosophic set theory and its applications in computational intelligence.
· Plithogenic set approaches in big data analysis.
· Hypersoft set theory in complex systems modeling.
· IndetermSoft Set in Handling Ambiguity in Data Science.
· SuperHyperSoft Set in Advanced Analytics.
· TreeSoft Set and Its Applications.
· Non-Standard Neutrosophic Topology in Advanced Mathematical Modeling.
· Machine learning algorithms enhanced by neutrosophic sets for predictive analytics.
· Neutrosophic statistical methods for big data analysis and interpretation.
· Neutrosophic approaches in Operations Research.
· Neutrosophic approaches in quantum computing.
· Neutrosophic approaches to cybersecurity and data protection.
· Healthcare and Medicine Applications under indeterminacy.
· Application of neutrosophic set theory in blockchain technology.
· Neutrosophic models in environmental science
· Neutrosophic decision-making frameworks for sustainable and renewable energy systems.
· AI-Driven Decision Support and Business Analytics.
· Risk Assessment and Management.
· Financial Modeling and Economics.
· Practical applications of indeterminacy in decision making.
1998, 2019 – Extended Nonstandard Neutrosophic Logic, Set, Probability based on NonStandard Analysis
a+bI, where I = literal indeterminacy, I2 = 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 https://fs.unm.edu/NCMs.pdf
2005 – Introduction of Interval Neutrosophic Set/Logic https://arxiv.org/pdf/cs/0505014.pdf https://fs.unm.edu/INSL.pdf
2006 – Introduction of Degree of Dependence and Degree of Independence between the Neutrosophic Components T, I, F. 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 background 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).
In general, the sum of two components x and y that vary in the unitary interval [0, 1] is: 0 ≤ x + y ≤ 2 – d°(x, y), where d°(x, y) is the degree of dependence between x and y, while d°(x, y) is the degree of independence between x and y.
Degrees of Dependence and Independence between Neutrosophic Components T, I, F are independent components, leaving room for incomplete information (when their superior sum < 1), paraconsistent and contradictory information (when the superior sum > 1), or complete
information (sum of components = 1).
For software engineering proposals the classical unit interval [0, 1] is used. https://doi.org/10.5281/zenodo.571359 https://fs.unm.edu/eBook-Neutrosophics6.pdf (p. 92) https://fs.unm.edu/NSS/DegreeOfDependenceAndIndependence.pdf
2007 – The Neutrosophic Set was extended [Smarandache, 2007] to Neutrosophic Overset (when some neutrosophic component is > 1), since he
observed that, 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 https://fs.unm.edu/NeutrosophicOversetUndersetOffset.pdf https://fs.unm.edu/SVNeutrosophicOverset-JMI.pdf https://fs.unm.edu/IV-Neutrosophic-Overset-Underset-Offset.pdf https://fs.unm.edu/NSS/DegreesOf-Over-Under-Off-Membership.pdf
(<A>; <neutA1>,
<neutA2>, …, <neutAn>; <antiA>)
and the Law of Included Infinitely-Many-Middles (2023)
(<A>; <neutA1>, <neutA2>, …, <neutAinfinity>; <antiA>)
(a+ b1I1 + b2I2 + … + bnIn), where I1, I2, …, In are SubIndeterminacies of Indeterminacy I.
2015 – (t,i,f)-Neutrosophic Graphs.
2015 – 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 https://fs.unm.edu/SymbolicNeutrosophicTheory.pdf
2015 – Introduction of the SubIndeterminacies of the form
for k/0, for k in {0, 1, 2, …, n-1}
2016 – Addition, Multiplication, Scalar Multiplication, Power, Subtraction,
and Division of Neutrosophic Triplets (T, I, F)
2017 – 2020 – 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): https://fs.unm.edu/NSS/TheScoreAccuracyAndCertainty1.pdf
2018 – 2023 – Introduction of new types of soft sets: HyperSoft
Set, IndetermSoft Set, IndetermHyperSoft Set, SuperHyperSoft Set, TreeSoft Set:
2019 – Introduction to Neutrosophic Sociology (NeutroSociology)
[neutrosophic concept, or (T, I, F)-concept, is a concept that is T% true, I%
indeterminate, and F% false]: https://fs.unm.edu/Neutrosociology.pdf
2019 – Refined Neutrosophic Crisp Set
2019-2024 – Introduction of sixteen 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:
2019 – 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:
As alternatives and generalizations of the Non-Euclidean Geometries it was
introduced in 2021 the NeutroGeometry & AntiGeometry.
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.
2019-2022 – Extension of HyperGraph to SuperHyperGraph and Neutrosophic SuperHyperGraph
2021 – Introduction to Neutrosophic Number Theory (Abobala)
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 NeutroGeometry results from the partial
negation of one or more axioms [and no total negation of no axiom] from any geometric axiomatic system:
Real Examples of NeutroGeometry and AntiGeometry:
2021 – Introduction of Plithogenic Logic as a generalization of MultiVariate Logic
2021 – Introduction of Plithogenic Probability and Statistics as generalizations of MultiVariate Probability and Statistics respectively
2021 – Introduction of the AH-isometry f(x+yI) = f(x) + I[f(x+y) – f(x)]
and foundation of the Neutrosophic Euclidean Geometry
(by Abobala & Hatip)
2016 – 2022 SuperHyperAlgebra & Neutrosophic SuperHyperAlgebra
2022 – SuperHyperFunction, SuperHyperTopology
2022 – 2023 Neutrosophic Operational Research (Smarandache – Jdid)
2023 – Symbolic Plithogenic Algebraic Structures built on the set of
Symbolic Plithogenic Numbers of the form
a0 + a1P1 + a2P2 + … + anPn
2023 – Foundation of Neutrosophic Cryptology (Merkepci-Abobala-Allouf)
2023 – The MultiNeutrosophic Set (a neutrosophic set whose
elements' degrees T, I, F are evaluated by multiple sources):
2023 – The MultiAlism System of Thought (an open dynamic system of many
opposites, with their neutralities or indeterminacies, formed by elements from many systems):
2024 – SuperHyperStructure and Neutrosophic SuperHyperStructure
2024 – Appurtenance Equation, Inclusion Equation,
& Neutrosophic Numbers used in Neutrosophic Statistics
2024 – Zarathustra & Neutrosophy
2024 – Neutrosophic TwoFold Algebra
Submission Deadline:
· Submission Open Date: March 01, 2024
· Submission Deadline: September 21, 2024
Guest Editors:
· S. A. Edalatpanah (Lead Guest Editor), Ayandegan Institute of
Higher Education, Iran
· Jun Ye, School of Civil and Environmental Engineering, Ningbo
University, Ningbo 315211, P. R. China.
· Harish Garg, Thapar Institute of Engineering & Technology,
Deemed University, Patiala, Punjab, India.
· Michael Voskoglou, School of Technological Applications, 26334
Patras, Greece.
· Vakkas Uluçay, Department of Mathematics, Kilis 7 Aralık
University, southeastern Turkey.