Neutrosophic Multigroups And Applications

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Neutrosophic Multigroups and Applications

Vakkas Uluçay,Memet Sahin
Neutrosophic Multigroups and Applications Book PDF

Author : Vakkas Uluçay,Memet Sahin
Publisher : Infinite Study
Page : 17 pages
File Size : 41,9 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Multigroups and Applications by Vakkas Uluçay,Memet Sahin Pdf

In recent years, fuzzy multisets and neutrosophic sets have become a subject of great interest for researchers and have been widely applied to algebraic structures include groups, rings, fields and lattices. Neutrosophic multiset is a generalization of multisets and neutrosophic sets. In this paper, we proposed a algebraic structure on neutrosophic multisets is called neutrosophic multigroups which allow the truth-membership, indeterminacy-membership and falsity-membership sequence have a set of real values between zero and one.

Neutrosophic Algebraic Structures and Their Applications

Florentin Smarandache,Memet Şahin,Derya Bakbak,Vakkas Uluçay,Abdullah Kargın
Neutrosophic Algebraic Structures and Their Applications Book PDF

Author : Florentin Smarandache,Memet Şahin,Derya Bakbak,Vakkas Uluçay,Abdullah Kargın
Publisher : Infinite Study
Page : 269 pages
File Size : 48,9 Mb
Release : 2022-08-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Algebraic Structures and Their Applications by Florentin Smarandache,Memet Şahin,Derya Bakbak,Vakkas Uluçay,Abdullah Kargın Pdf

Neutrosophic theory and its applications have been expanding in all directions at an astonishing rate especially after of the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structures such as rough neutrosophic set, single valued neutrosophic rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been an important tool in the application of various areas such as data mining, decision making, e-learning, engineering, medicine, social science, and some more.

Neutrosophic Modeling of Talcott Parsons’s Action and Decision-Making Applications for It

Cahit Aslan ,Abdullah Kargın ,Memet Şahin
Neutrosophic Modeling of Talcott Parsons s Action and Decision Making Applications for It Book PDF

Author : Cahit Aslan ,Abdullah Kargın ,Memet Şahin
Publisher : Infinite Study
Page : 19 pages
File Size : 55,8 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Modeling of Talcott Parsons’s Action and Decision-Making Applications for It by Cahit Aslan ,Abdullah Kargın ,Memet Şahin Pdf

The grand theory of action of Parsons has an important place in social theories. Furthermore, there are many uncertainties in the theory of Parsons. Classical math logic is often insufficient to explain these uncertainties. In this study, we explain the grand theory of action of Parsons in neutrosociology for the first time.

Neutrosophic SuperHyperAlgebra and New Types of Topologies

Florentin Smarandache,Memet Şahin,Derya Bakbak,Vakkas Uluçay,Abdullah Kargın
Neutrosophic SuperHyperAlgebra and New Types of Topologies Book PDF

Author : Florentin Smarandache,Memet Şahin,Derya Bakbak,Vakkas Uluçay,Abdullah Kargın
Publisher : Infinite Study
Page : 254 pages
File Size : 55,6 Mb
Release : 2023-09-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic SuperHyperAlgebra and New Types of Topologies by Florentin Smarandache,Memet Şahin,Derya Bakbak,Vakkas Uluçay,Abdullah Kargın Pdf

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.

New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations

Florentin Smarandache,Yanhui Guo
New Development of Neutrosophic Probability Neutrosophic Statistics Neutrosophic Algebraic Structures and Neutrosophic Plithogenic Optimizations Book PDF

Author : Florentin Smarandache,Yanhui Guo
Publisher : Infinite Study
Page : 411 pages
File Size : 50,6 Mb
Release : 2022-09-01
Category : Mathematics
ISBN : 8210379456XXX

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New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations by Florentin Smarandache,Yanhui Guo Pdf

This volume presents state-of-the-art papers on new topics related to neutrosophic theories, such as neutrosophic algebraic structures, neutrosophic triplet algebraic structures, neutrosophic extended triplet algebraic structures, neutrosophic algebraic hyperstructures, neutrosophic triplet algebraic hyperstructures, neutrosophic n-ary algebraic structures, neutrosophic n-ary algebraic hyperstructures, refined neutrosophic algebraic structures, refined neutrosophic algebraic hyperstructures, quadruple neutrosophic algebraic structures, refined quadruple neutrosophic algebraic structures, neutrosophic image processing, neutrosophic image classification, neutrosophic computer vision, neutrosophic machine learning, neutrosophic artificial intelligence, neutrosophic data analytics, neutrosophic deep learning, and neutrosophic symmetry, as well as their applications in the real world.

Neutrosophic Triplet m-Banach Spaces

Abdullah Kargın,Azize Dayan,İsmet Yıldız,Adil Kılıç
Neutrosophic Triplet m Banach Spaces Book PDF

Author : Abdullah Kargın,Azize Dayan,İsmet Yıldız,Adil Kılıç
Publisher : Infinite Study
Page : 16 pages
File Size : 47,8 Mb
Release : 2020-12-01
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Triplet m-Banach Spaces by Abdullah Kargın,Azize Dayan,İsmet Yıldız,Adil Kılıç Pdf

Neutrosophic triplet theory has an important place in neutrosophic theory. Since the neutrosophic triplet set (Nts), which have the feature of having multiple unit elements, have different units than the classical unit, they have more features than the classical set. Also, Banach spaces are complete normed vector space defined by real and complex numbers that are studied historically in functional analysis. Thus, normed space and Banach space have an important place in functional analysis. In this article, neutrosophic triplet m-Banach spaces (NtmBs) are firstly obtained. Then, some definitions and examples are given for NtmBs. Based on these definitions, new theorems are given and proved. In addition, it is shown that NtmBs is different from neutrosophic triplet Banach space (NtBs). Furthermore, it is shown that relationship between NtmBs and NtBs. So, we added a new structure to functional analysis and neutrosophic triplet theory.

Neutrosophic Sets and Systems, Vol. 38, 2020

Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Neutrosophic Sets and Systems Vol 38 2020 Book PDF

Author : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Publisher : Infinite Study
Page : 662 pages
File Size : 41,9 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Vol. 38, 2020 by Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi Pdf

“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 Sets and Systems, Vol. 40, 2021

Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Neutrosophic Sets and Systems Vol 40 2021 Book PDF

Author : Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi
Publisher : Infinite Study
Page : 279 pages
File Size : 53,6 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Vol. 40, 2021 by Florentin Smarandache,Mohamed Abdel-Basset,Said Broumi Pdf

“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.

The Effect of The Neutrosophic Logic on The Decision Tree

Ahmed Hatip
The Effect of The Neutrosophic Logic on The Decision Tree Book PDF

Author : Ahmed Hatip
Publisher : Infinite Study
Page : 84 pages
File Size : 47,9 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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The Effect of The Neutrosophic Logic on The Decision Tree by Ahmed Hatip Pdf

In this book, we will present the neutrosophic decision-making mechanism which is an extension of the classical decision-making process by extending the data to include the indefinite cases that are ignored by classical logic and which, in fact, support the decision-making problem. This book consists of eight chapters. In the introductory part of the thesis, the historical development process of the neutrosophic structure theory is given. In the second part, the effect of the neutrosophic logic on the decision tree has been compiled. In the third chapter, the Prospector Neutro Function with their applications were studied. In the fourth chapter, the subject of Neutro ordered R-module and their properties is examined in detail. In the fifth chapter, the Fundamental Theorem in neutrosophic Euclidean Geometry is given. In the sixth chapter, the solutions of some Kandasamy-Smarandache problems about neutrosophic complex numbers and group of units' problem are given. In the seventh chapter, the algebraic creativity in the neutrosophic square matrices and the results are given with examples. Finally, in the eighth chapter, the results and suggestions obtained in the thesis are given.

International Journal of Neutrosophic Science (IJNS) Volume 10, 2020

Broumi Said, Florentin Smarandache
International Journal of Neutrosophic Science IJNS Volume 10 2020 Book PDF

Author : Broumi Said, Florentin Smarandache
Publisher : Infinite Study
Page : 126 pages
File Size : 55,8 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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International Journal of Neutrosophic Science (IJNS) Volume 10, 2020 by Broumi Said, Florentin Smarandache Pdf

International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications. Papers concern with neutrosophic logic and mathematical structures in the neutrosophic setting. Besides providing emphasis on topics like artificial intelligence, pattern recognition, image processing, robotics, decision making, data analysis, data mining, applications of neutrosophic mathematical theories contributions to economics, finance, management, industries, electronics, and communications are promoted.

International Journal of Neutrosophic Science (IJNS) Volume 3, 2020

Broumi Said,Florentin Smarandache
International Journal of Neutrosophic Science IJNS Volume 3 2020 Book PDF

Author : Broumi Said,Florentin Smarandache
Publisher : Infinite Study
Page : 116 pages
File Size : 52,5 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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International Journal of Neutrosophic Science (IJNS) Volume 3, 2020 by Broumi Said,Florentin Smarandache Pdf

International Journal of Neutrosophic Science (IJNS) is a peer-review journal publishing high quality experimental and theoretical research in all areas of Neutrosophic and its Applications. IJNS is published quarterly. IJNS is devoted to the publication of peer-reviewed original research papers lying in the domain of neutrosophic sets and systems. Papers submitted for possible publication may concern with foundations, neutrosophic logic and mathematical structures in the neutrosophic setting. Besides providing emphasis on topics like artificial intelligence, pattern recognition, image processing, robotics, decision making, data analysis, data mining, applications of neutrosophic mathematical theories contributing to economics, finance, management, industries, electronics, and communications are promoted.

NeutroAlgebra Theory Volume I

Florentin Smarandache,Memet Şahin,Derya Bakbak,Vakkas Uluçay,Abdullah Kargın
NeutroAlgebra Theory Volume I Book PDF

Author : Florentin Smarandache,Memet Şahin,Derya Bakbak,Vakkas Uluçay,Abdullah Kargın
Publisher : Infinite Study
Page : 219 pages
File Size : 51,9 Mb
Release : 2021-06-21
Category : Architecture
ISBN : 8210379456XXX

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NeutroAlgebra Theory Volume I by Florentin Smarandache,Memet Şahin,Derya Bakbak,Vakkas Uluçay,Abdullah Kargın Pdf

A collection of papers from multiple authors. In 2019 and 2020 Smarandache [1, 2, 3, 4] generalized 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}. The NeutroAlgebras & AntiAlgebras are a new field of research, which is inspired from our real world. In classical algebraic structures, all axioms are 100%, and all operations are 100% well-defined, but in real life, in many cases these restrictions are too harsh, since in our world we have things that only partially verify some laws or some operations. Using the process of NeutroSophication of a classical algebraic structure we produce a NeutroAlgebra, while the process of AntiSophication of a classical algebraic structure produces an AntiAlgebra.

Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras

Smarandache, Florentin,Al-Tahan, Madeline
Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras Book PDF

Author : Smarandache, Florentin,Al-Tahan, Madeline
Publisher : IGI Global
Page : 333 pages
File Size : 44,5 Mb
Release : 2022-04-15
Category : Mathematics
ISBN : 9781668434970

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Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras by Smarandache, Florentin,Al-Tahan, Madeline Pdf

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. In all classical algebraic structures, the law of compositions on a given set are well-defined, but this is a restrictive case because there are situations in science where a law of composition defined on a set may be only partially defined and partially undefined, which we call NeutroDefined, or totally undefined, which we call AntiDefined. Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebra introduces NeutroAlgebra, an emerging field of research. This book provides a comprehensive collection of original work related to NeutroAlgebra and covers topics such as image retrieval, mathematical morphology, and NeutroAlgebraic structure. It is an essential resource for philosophers, mathematicians, researchers, educators and students of higher education, and academicians.

Neutrosophic Sets and Systems, Vol. 30, 2019

Florentin Smarandache,Mohamed Abdel-Basset
Neutrosophic Sets and Systems Vol 30 2019 Book PDF

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 293 pages
File Size : 48,7 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, Vol. 30, 2019 by Florentin Smarandache,Mohamed Abdel-Basset Pdf

“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 Sets and Systems Book Series, Vol. 30, 2019

Florentin Smarandache,Mohamed Abdel-Basset
Neutrosophic Sets and Systems Book Series Vol 30 2019 Book PDF

Author : Florentin Smarandache,Mohamed Abdel-Basset
Publisher : Infinite Study
Page : 293 pages
File Size : 44,6 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems Book Series, Vol. 30, 2019 by Florentin Smarandache,Mohamed Abdel-Basset Pdf

“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.