An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making

An Approach toward a Q-Neutrosophic Soft Set and Its Application in Decision Making

Author: Majdoleen Abu Qamar

Publisher: Infinite Study

Published:

Total Pages: 18

ISBN-13:

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A neutrosophic set was proposed as an approach to study neutral uncertain information. It is characterized through three memberships, T, I and F, such that these independent functions stand for the truth, indeterminate, and false-membership degrees of an object. The neutrosophic set presents a symmetric form since truth enrolment T is symmetric to its opposite false enrolment F with respect to indeterminacy enrolment I that acts as an axis of symmetry.


Fuzzy Parameterized Complex Neutrosophic Soft Expert Set for Decision under Uncertainty

Fuzzy Parameterized Complex Neutrosophic Soft Expert Set for Decision under Uncertainty

Author: Ashraf Al-Quran

Publisher: Infinite Study

Published:

Total Pages: 19

ISBN-13:

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This paper introduces the concept of fuzzy parameterized complex neutrosophic soft expert set (FP-CNSES) to handle this issue by assigning a degree of importance to each of the problem parameters. We further develop FP-CNSES by establishing the concept of weighted fuzzy parameterized complex neutrosophic soft expert set (WFP-CNSES) based on the idea that each expert has a relative weight.


Transdisciplinarity

Transdisciplinarity

Author: Nima Rezaei

Publisher: Springer Nature

Published: 2022-11-13

Total Pages: 738

ISBN-13: 3030946517

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This contributed volume book aims at discussing transdisciplinary approaches to address common problems. By working transdisciplinarily, researchers coming from different disciplines can work jointly using a shared conceptual framework bringing together disciplinary-specific theories and concepts. There are numerous barriers that can obstruct effective communication between different cultures, communities, religions and geographies. This book shows that through bringing together different disciplines, researchers not only can surpass these barriers but can effectively produce new venues of thought that can positively affect the development and evolution of research and education. The book discusses new and emerging applications of knowledge produced by transdisciplinary efforts and covers the interplay of many disciplines, including agriculture, economics, mathematics, engineering, industry, information technology, marketing, nanoscience, neuroscience, space exploration, human-animal relationships, among others. Consequently, it also covers the relationship between art and science, as one of the most remarkable transdisciplinary approaches that paves the way for new methods in engineering, design, architecture and many other fields.


Neutrosophic Sets and Systems, Vol. 40, 2021

Neutrosophic Sets and Systems, Vol. 40, 2021

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 279

ISBN-13:

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.


Neutrosophic SuperHyperAlgebra and New Types of Topologies

Neutrosophic SuperHyperAlgebra and New Types of Topologies

Author: Florentin Smarandache

Publisher: Infinite Study

Published: 2023-09-01

Total Pages: 254

ISBN-13:

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In general, a system S (that may be a company, association, institution, society, country, etc.) is formed by sub-systems Si { or P(S), the powerset of S }, and each sub-system Si is formed by sub-sub-systems Sij { or P(P(S)) = P2(S) } and so on. That’s why the n-th PowerSet of a Set S { defined recursively and denoted by Pn(S) = P(Pn-1(S) } was introduced, to better describes the organization of people, beings, objects etc. in our real world. The n-th PowerSet was used in defining the SuperHyperOperation, SuperHyperAxiom, and their corresponding Neutrosophic SuperHyperOperation, Neutrosophic SuperHyperAxiom in order to build the SuperHyperAlgebra and Neutrosophic SuperHyperAlgebra. In general, in any field of knowledge, one in fact encounters SuperHyperStructures. Also, six new types of topologies have been introduced in the last years (2019-2022), such as: Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, NeutroTopology, AntiTopology, SuperHyperTopology, and Neutrosophic SuperHyperTopology.


Neutrosophic Sets and Systems, vol. 51/2022

Neutrosophic Sets and Systems, vol. 51/2022

Author: Florentin Smarandache

Publisher: Infinite Study

Published: 2022-09-01

Total Pages: 970

ISBN-13:

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. 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 together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).


New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications

New types of Neutrosophic Set/Logic/Probability, Neutrosophic Over-/Under-/Off-Set, Neutrosophic Refined Set, and their Extension to Plithogenic Set/Logic/Probability, with Applications

Author: Florentin Smarandache

Publisher: MDPI

Published: 2019-11-27

Total Pages: 714

ISBN-13: 3039219383

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This book contains 37 papers by 73 renowned experts from 13 countries around the world, on following topics: neutrosophic set; neutrosophic rings; neutrosophic quadruple rings; idempotents; neutrosophic extended triplet group; hypergroup; semihypergroup; neutrosophic extended triplet group; neutrosophic extended triplet semihypergroup and hypergroup; neutrosophic offset; uninorm; neutrosophic offuninorm and offnorm; neutrosophic offconorm; implicator; prospector; n-person cooperative game; ordinary single-valued neutrosophic (co)topology; ordinary single-valued neutrosophic subspace; α-level; ordinary single-valued neutrosophic neighborhood system; ordinary single-valued neutrosophic base and subbase; fuzzy numbers; neutrosophic numbers; neutrosophic symmetric scenarios; performance indicators; financial assets; neutrosophic extended triplet group; neutrosophic quadruple numbers; refined neutrosophic numbers; refined neutrosophic quadruple numbers; multigranulation neutrosophic rough set; nondual; two universes; multiattribute group decision making; nonstandard analysis; extended nonstandard analysis; monad; binad; left monad closed to the right; right monad closed to the left; pierced binad; unpierced binad; nonstandard neutrosophic mobinad set; neutrosophic topology; nonstandard neutrosophic topology; visual tracking; neutrosophic weight; objectness; weighted multiple instance learning; neutrosophic triangular norms; residuated lattices; representable neutrosophic t-norms; De Morgan neutrosophic triples; neutrosophic residual implications; infinitely ∨-distributive; probabilistic neutrosophic hesitant fuzzy set; decision-making; Choquet integral; e-marketing; Internet of Things; neutrosophic set; multicriteria decision making techniques; uncertainty modeling; neutrosophic goal programming approach; shale gas water management system.


Neutrosophic Sets and Systems, Vol. 27, 2019

Neutrosophic Sets and Systems, Vol. 27, 2019

Author: Florentin Smarandache

Publisher: Infinite Study

Published:

Total Pages: 252

ISBN-13:

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Some articles from this issue: BMBJ-neutrosophic ideals in BCK/BCI-algebras, Neutrosophic General Finite Automata, Generalized Neutrosophic Exponential map, Implementation of Neutrosophic Function Memberships Using MATLAB Program.