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Neutrosophic Graph Theory And Algorithms

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Neutrosophic Graph Theory And Algorithms

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Author : Smarandache, Florentin
language : en
Publisher: IGI Global
Release Date : 2019-10-25

Neutrosophic Graph Theory And Algorithms written by Smarandache, Florentin and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-25 with Computers categories.

Graph theory is a specific concept that has numerous applications throughout many industries. Despite the advancement of this technique, graph theory can still yield ambiguous and imprecise results. In order to cut down on these indeterminate factors, neutrosophic logic has emerged as an applicable solution that is gaining significant attention in solving many real-life decision-making problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistency, and indeterminacy. However, empirical research on this specific graph set is lacking. Neutrosophic Graph Theory and Algorithms is a collection of innovative research on the methods and applications of neutrosophic sets and logic within various fields including systems analysis, economics, and transportation. While highlighting topics including linear programming, decision-making methods, and homomorphism, this book is ideally designed for programmers, researchers, data scientists, mathematicians, designers, educators, researchers, academicians, and students seeking current research on the various methods and applications of graph theory.

A New Algorithm For Finding Minimum Spanning Trees With Undirected Neutrosophic Graphs

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Author : Arindam Dey
language : en
Publisher: Infinite Study
Release Date :

A New Algorithm For Finding Minimum Spanning Trees With Undirected Neutrosophic Graphs written by Arindam Dey 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.

In this paper, we discuss the minimum spanning tree (MST) problem of an undirected neutrosophic weighted connected graph in which a single-valued neutrosophic number, instead of a real number/fuzzy number, is assigned to each arc as its arc length.We define this type of MST as neutrosophic minimum spanning tree (NMST).

Neutroalgebra Theory Volume I

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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2021-06-21

Neutroalgebra Theory Volume I 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 2021-06-21 with Architecture categories.

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.

Superhypergraph Neural Networks And Plithogenic Graph Neural Networks Theoretical Foundations

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Author : Takaaki Fujita
language : en
Publisher: Infinite Study
Release Date : 2025-01-01

Superhypergraph Neural Networks And Plithogenic Graph Neural Networks Theoretical Foundations 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 2025-01-01 with Mathematics categories.

Hypergraphs extend traditional graphs by allowing edges to connect multiple nodes, while superhypergraphs further generalize this concept to represent even more complex relationships. Neural networks, inspired by biological systems, are widely used for tasks such as pattern recognition, data classification, and prediction. Graph Neural Networks (GNNs), a well-established framework, have recently been extended to Hypergraph Neural Networks (HGNNs), with their properties and applications being actively studied. The Plithogenic Graph framework enhances graph representations by integrating multi-valued attributes, as well as membership and contradiction functions, enabling the detailed modeling of complex relationships. In the context of handling uncertainty, concepts such as Fuzzy Graphs and Neutrosophic Graphs have gained prominence. It is well established that Plithogenic Graphs serve as a generalization of both Fuzzy Graphs and Neutrosophic Graphs. Furthermore, the Fuzzy Graph Neural Network has been proposed and is an active area of research. This paper establishes the theoretical foundation for the development of SuperHyperGraph Neural Networks (SHGNNs) and Plithogenic Graph Neural Networks, expanding the applicability of neural networks to these advanced graph structures. While mathematical generalizations and proofs are presented, future computational experiments are anticipated.

International Journal Of Neutrosophic Science Ijns Volume 13 2020

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Author : Broumi Said
language : en
Publisher: Infinite Study
Release Date :

International Journal Of Neutrosophic Science Ijns Volume 13 2020 written by Broumi Said 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.

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.

Linear And Non Linear Decagonal Neutrosophic Numbers Alpha Cuts Representation And Solution Of Large Mcdm Problems

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Author : Sara Farooq
language : en
Publisher: Infinite Study
Release Date : 2021-05-01

Linear And Non Linear Decagonal Neutrosophic Numbers Alpha Cuts Representation And Solution Of Large Mcdm Problems written by Sara Farooq and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-01 with Mathematics categories.

The postulation of neutrosophic numbers has been analyzed from different angles in this paper. In this current era, our main purpose is to mention Decagonal Neutrosophic numbers. The types of linear and non-linear generalized decagonal neutrosophic numbers play a very critical role in the theory related to uncertainty This approach is helpful in getting a crisp number from a neutrosophic number. The definitions regarding Linear, Non-Linear, symmetry, Asymmetry, alpha cuts have been introduced and large decision-making problems using fuzzy TOPSIS have been solved.

International Journal Of Neutrosophic Science Ijns Volume 10 2020

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Author : Broumi Said
language : en
Publisher: Infinite Study
Release Date :

International Journal Of Neutrosophic Science Ijns Volume 10 2020 written by Broumi Said 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 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.

Uncertain Automata And Uncertain Graph Grammar

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Author : Takaaki Fujita
language : en
Publisher: Infinite Study
Release Date : 2025-01-01

Uncertain Automata And Uncertain Graph Grammar 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 2025-01-01 with Mathematics categories.

Graph theory has been widely studied, resulting in numerous applications across various felds. Among its many topics, Automata and Graph Grammar have emerged as signifcant areas of research. This paper delves into these concepts, emphasizing their adaptation to uncertain frameworks like Fuzzy, Neutrosophic, Vague, Turiyam Neutrosophic, and Plithogenic systems. By integrating uncertainty into traditional graph theoretical models, the paper aims to address ongoing research challenges and expand the scope of these models.

International Journal Of Neutrosophic Science Ijns Volume 14 2021

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Author : Broumi Said
language : en
Publisher: Infinite Study
Release Date :

International Journal Of Neutrosophic Science Ijns Volume 14 2021 written by Broumi Said 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.

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.

Neutrosophic Graph Theory And Algorithms

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