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Hesitant Bipolar Valued Neutrosophic Set Formulation Theory And Application


Hesitant Bipolar Valued Neutrosophic Set Formulation Theory And Application
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Hesitant Bipolar Valued Neutrosophic Set Formulation Theory And Application


Hesitant Bipolar Valued Neutrosophic Set Formulation Theory And Application
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Author : Azzah Awang
language : en
Publisher: Infinite Study
Release Date :

Hesitant Bipolar Valued Neutrosophic Set Formulation Theory And Application written by Azzah Awang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


This paper proposes a hesitant bipolar-valued neutrosophic set (HBVNS) based on the combination of bipolar neutrosophic sets and hesitant fuzzy sets. The proposed set generalizes the notions of fuzzy set, intuitionistic fuzzy set, hesitant fuzzy set, single-valued neutrosophic set, single-valued neutrosophic hesitant fuzzy set, bipolar fuzzy set and bipolar neutrosophic set. Further, we define the basic operational laws, union, intersection and complement for hesitant bipolar -valued neutrosophic elements (HBVNEs) and study its associated properties. Some relevant examples are also given to provide a better understanding of the proposed concept. Two aggregation operators are developed based HBVNS which are the hesitant bipolar-valued neutrosophic weighted averaging (HBVNWA) and the hesitant bipolar-valued neutrosophic weighted geometric (HBVNWG). A decision making method is developed based on HBVNS and the proposed HBVNWA and HBVNWG operators. Finally, an illustrative example is given to show the applicability of the proposed decision making method and a comparative analysis with the existing methods is also provided.



Hesitant Bipolar Valued Neutrosophic Set Formulation Theory And Application


Hesitant Bipolar Valued Neutrosophic Set Formulation Theory And Application
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Author : Ashraf Al-Quran
language : en
Publisher: Infinite Study
Release Date :

Hesitant Bipolar Valued Neutrosophic Set Formulation Theory And Application written by Ashraf Al-Quran and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


This paper proposes a hesitant bipolar-valued neutrosophic set (HBVNS) based on the combination of bipolar neutrosophic sets and hesitant fuzzy sets. The proposed set generalizes the notions of fuzzy set, intuitionistic fuzzy set, hesitant fuzzy set, single-valued neutrosophic set, single-valued neutrosophic hesitant fuzzy set, bipolar fuzzy set and bipolar neutrosophic set. Further, we define the basic operational laws, union, intersection and complement for hesitant bipolar-valued neutrosophic elements (HBVNEs) and study its associated properties. Some relevant examples are also given to provide a better understanding of the proposed concept. Two aggregation operators are developed based on HBVNS which are the hesitant bipolar-valued neutrosophic weighted averaging (HBVNWA) and the hesitant bipolar-valued neutrosophic weighted geometric (HBVNWG). A decision making method is developed based on new sets and the proposed HBVNWA and HBVNWG operators. Finally, an illustrative example is given to show the applicability of the proposed decision making method. A comparative analysis with the existing methods is also provided.



Neutrosophic Sets And Systems Vol 47 2021


Neutrosophic Sets And Systems Vol 47 2021
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2021-12-30

Neutrosophic Sets And Systems Vol 47 2021 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-30 with Antiques & Collectibles categories.


Papers on neutrosophic statistics, neutrosophic probability, plithogenic set, paradoxism, neutrosophic set, NeutroAlgebra, etc. and their applications.



Neutrosophic Sets And Systems Vol 55 2023


Neutrosophic Sets And Systems Vol 55 2023
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2024-02-15

Neutrosophic Sets And Systems Vol 55 2023 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-15 with Mathematics categories.


“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.



Transdisciplinarity


Transdisciplinarity
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Author : Nima Rezaei
language : en
Publisher: Springer Nature
Release Date : 2022-11-13

Transdisciplinarity written by Nima Rezaei and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-13 with Medical categories.


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 Information Theory And Applications


Neutrosophic Information Theory And Applications
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Author : Florentin Smarandach
language : en
Publisher: Infinite Study
Release Date :

Neutrosophic Information Theory And Applications written by Florentin Smarandach and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


The concept of Information is to disseminate scientific results achieved via experiments and theoretical results in depth. It is very important to enable researchers and practitioners to learn new technology and findings that enable development in the applied field.



Neutrosophic Sets And Systems Vol 40 2021


Neutrosophic Sets And Systems Vol 40 2021
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :

Neutrosophic Sets And Systems Vol 40 2021 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


“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 32 2020 An International Book Series In Information Science And Engineering


Neutrosophic Sets And Systems Book Series Vol 32 2020 An International Book Series In Information Science And Engineering
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :

Neutrosophic Sets And Systems Book Series Vol 32 2020 An International Book Series In Information Science And Engineering written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


“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 32 2020


Neutrosophic Sets And Systems Vol 32 2020
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date :

Neutrosophic Sets And Systems Vol 32 2020 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


“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 in this issue: Parameter Reduction of Neutrosophic Soft Sets and Their Applications, Geometric Programming (NGP) Problems Subject to (⋁,.) Operator; the Minimum Solution, Ngpr Homeomorphism in Neutrosophic Topological Spaces, Generalized Neutrosophic Separation Axioms in Neutrosophic Soft Topological Spaces.



Uncertain Labeling Graphs And Uncertain Graph Classes With Survey For Various Uncertain Sets


Uncertain Labeling Graphs And Uncertain Graph Classes With Survey For Various Uncertain Sets
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Author : Takaaki Fujita
language : en
Publisher: Infinite Study
Release Date :

Uncertain Labeling Graphs And Uncertain Graph Classes With Survey For Various Uncertain Sets written by Takaaki Fujita and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


Graph theory, a branch of mathematics, studies the relationships between entities using vertices and edges. Uncertain Graph Theory has emerged within this field to model the uncertainties present in real-world networks. Graph labeling involves assigning labels, typically integers, to the vertices or edges of a graph according to specific rules or constraints. This paper introduces the concept of the Turiyam Neutrosophic Labeling Graph, which extends the traditional graph framework by incorporating four membership values—truth, indeterminacy, falsity, and a liberal state—at each vertex and edge. This approach enables a more nuanced representation of complex relationships. Additionally, we discuss the Single-Valued Pentapartitioned Neutrosophic Labeling Graph.The paper also examines the relationships between these novel graph concepts and other established types of graphs. In the Future Directions section, we propose several new classes of Uncertain Graphs and Labeling Graphs. And the appendix of this paper details the findings from an investigation into set concepts within Uncertain Theory. These set concepts have inspired numerous proposals and studies by various researchers, driven by their applications, mathematical properties, and research interests.