Shortest Path Problem By Minimal Spanning Tree Algorithm Using Bipolar Neutrosophic Numbers

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SHORTEST PATH PROBLEM BY MINIMAL SPANNING TREE ALGORITHM USING BIPOLAR NEUTROSOPHIC NUMBERS

Author : M. Mullai
Publisher : Infinite Study
ISBN 13 :
Total Pages : 9 pages
Book Rating : 4./5 ( download)

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Book Synopsis SHORTEST PATH PROBLEM BY MINIMAL SPANNING TREE ALGORITHM USING BIPOLAR NEUTROSOPHIC NUMBERS by : M. Mullai

Download or read book SHORTEST PATH PROBLEM BY MINIMAL SPANNING TREE ALGORITHM USING BIPOLAR NEUTROSOPHIC NUMBERS written by M. Mullai and published by Infinite Study. This book was released on with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: Normally, Minimal Spanning Tree algorithm is used to ﬁnd the shortest route in a network. Neutrosophic set theory is used when incomplete, inconsistancy and indeterminacy occurs. In this paper, Bipolar Neutrosophic Numbers are used in Minimal Spanning Tree algorithm for ﬁnding the shortest path on a network when the distances are inconsistant and indeterminate and it is illustrated by a numerical example.

Minimal Spanning Tree Algorithms w. r. t. Bipolar Neutrosophic Graphs

Author : G. Upender Reddy
Publisher : Infinite Study
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4./5 ( download)

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Book Synopsis Minimal Spanning Tree Algorithms w. r. t. Bipolar Neutrosophic Graphs by : G. Upender Reddy

Download or read book Minimal Spanning Tree Algorithms w. r. t. Bipolar Neutrosophic Graphs written by G. Upender Reddy and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: The minimal spanning tree (MST) algorithms by using the edges weights were presented mainly by Prim’s and Kruskal’s algorithms. In this article we use the weights for the bipolar neutrosophic edges by using the score functions with the new model algorithms namely bipolar neutrosophic Prim’s algorithm and bipolar neutrosophic Kruskal’s algorithm. Further, we use the score functions to get the more appropriate results based on the algorithms.

Minimum Spanning Tree in Trapezoidal Fuzzy Neutrosophic Environment

Author : Said Broumi
Publisher : Infinite Study
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4./5 ( download)

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Book Synopsis Minimum Spanning Tree in Trapezoidal Fuzzy Neutrosophic Environment by : Said Broumi

Download or read book Minimum Spanning Tree in Trapezoidal Fuzzy Neutrosophic Environment written by Said Broumi and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, an algorithm for searching the minimum spanning tree (MST) in a network having trapezoidal fuzzy neutrosophic edge weight is presented.

A new algorithm for finding minimum spanning trees with undirected neutrosophic graphs

Author : Arindam Dey
Publisher : Infinite Study
ISBN 13 :
Total Pages : 7 pages
Book Rating : 4./5 ( download)

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Book Synopsis A new algorithm for finding minimum spanning trees with undirected neutrosophic graphs by : Arindam Dey

Download or read book A new algorithm for finding minimum spanning trees with undirected neutrosophic graphs written by Arindam Dey and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Spanning Tree Problem with Neutrosophic Edge Weights

Author : Said Broumi
Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis Spanning Tree Problem with Neutrosophic Edge Weights by : Said Broumi

Download or read book Spanning Tree Problem with Neutrosophic Edge Weights written by Said Broumi and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic set and neutrosophic logic theory are renowned theories to deal with complex, not clearly explained and uncertain real life problems, in which classical fuzzy sets/models may fail to model properly. This paper introduces an algorithm for finding minimum spanning tree (MST) of an undirected neutrosophic weighted connected graph (abbr. UNWCG) where the arc/edge lengths are represented by a single valued neutrosophic numbers.

Shortest Path Problem Under Interval Valued Neutrosophic Setting

Author : Said Broumi
Publisher : Infinite Study
ISBN 13 :
Total Pages : 7 pages
Book Rating : 4./5 ( download)

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Book Synopsis Shortest Path Problem Under Interval Valued Neutrosophic Setting by : Said Broumi

Download or read book Shortest Path Problem Under Interval Valued Neutrosophic Setting written by Said Broumi and published by Infinite Study. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents a study of neutrosophic shortest path with interval valued neutrosophic number on a network. A proposed algorithm also gives the shortest path length using ranking function from source node to destination node. Here each arc length is assigned to interval valued neutrosophic number. Finally, a numerical example has been provided for illustrating the proposed approach.

De-Neutrosophication Technique of Pentagonal Neutrosophic Number and Application in Minimal Spanning Tree

Author : Avishek Chakraborty
Publisher : Infinite Study
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4./5 ( download)

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Book Synopsis De-Neutrosophication Technique of Pentagonal Neutrosophic Number and Application in Minimal Spanning Tree by : Avishek Chakraborty

Download or read book De-Neutrosophication Technique of Pentagonal Neutrosophic Number and Application in Minimal Spanning Tree written by Avishek Chakraborty and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this current era, neutrosophic set theory is a crucial topic to demonstrate the ambiguous information due to existence of three disjunctive components appears in it and it provides a wide range of applications in distinct fields for the researchers. Generally, neutrosophic sets is the extended version of crisp set, fuzzy set and intuitionistic fuzzy sets to focus on the uncertain, hesitant and ambiguous datas of a real life mathematical problem.

Neutrosophic Graph Theory and Algorithms

Author : Smarandache, Florentin
Publisher : IGI Global
ISBN 13 : 1799813150
Total Pages : 406 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Neutrosophic Graph Theory and Algorithms by : Smarandache, Florentin

Download or read book Neutrosophic Graph Theory and Algorithms written by Smarandache, Florentin and published by IGI Global. This book was released on 2019-10-25 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Bipolar Neutrosophic Minimum Spanning Tree

Author : Said Broumi
Publisher : Infinite Study
ISBN 13 :
Total Pages : 6 pages
Book Rating : 4./5 ( download)

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Book Synopsis Bipolar Neutrosophic Minimum Spanning Tree by : Said Broumi

Download or read book Bipolar Neutrosophic Minimum Spanning Tree written by Said Broumi and published by Infinite Study. This book was released on with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this article is to introduce a matrix algorithm for finding minimum spanning tree (MST) in the environment of undirected bipolar neutrosophic connected graphs (UBNCG).

Neutrosophic Sets and Systems, Vol. 32, 2020

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 454 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 32, 2020 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 32, 2020 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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.

Shortest Path Solution of Trapezoidal Fuzzy Neutrosophic Graph Based on Circle‐Breaking Algorithm

Author : Lehua Yang
Publisher : Infinite Study
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4./5 ( download)

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Book Synopsis Shortest Path Solution of Trapezoidal Fuzzy Neutrosophic Graph Based on Circle‐Breaking Algorithm by : Lehua Yang

Download or read book Shortest Path Solution of Trapezoidal Fuzzy Neutrosophic Graph Based on Circle‐Breaking Algorithm written by Lehua Yang and published by Infinite Study. This book was released on with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: The shortest path problem is a topic of increasing interest in various scientific fields. The damage to roads and bridges caused by disasters makes traffic routes that can be accurately expressed become indeterminate. A neutrosophic set is a collection of the truth membership, indeterminacy membership, and falsity membership of the constituent elements. It has a symmetric form and indeterminacy membership is their axis of symmetry.

Neutrosophic Sets and Systems, Vol. 29, 2019

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 29, 2019 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 29, 2019 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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. 48/2022

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 496 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 48/2022 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, vol. 48/2022 written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-02-01 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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).

Shortest Path On Interval-Valued Triangular Neutrosophic Fuzzy Graphs With Application

Author : K. Kalaiarasi
Publisher : Infinite Study
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4./5 ( download)

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Book Synopsis Shortest Path On Interval-Valued Triangular Neutrosophic Fuzzy Graphs With Application by : K. Kalaiarasi

Download or read book Shortest Path On Interval-Valued Triangular Neutrosophic Fuzzy Graphs With Application written by K. Kalaiarasi and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article, inaugurate interval-valued triangular neutrosophic fuzzy graph (IVTNFG) of SPP, which is drew on three-sided numbers and IVTNFG. Hear a genuine application is given an illustrative model for IVTNFG. Additionally Shortest way is determined for this model. This present Dijkstra's Algorithm briefest way was checked through Python Jupiter Notebook (adaptation) programming.

A Python Tool for Implementations on Bipolar Neutrosophic Matrices

Author : Selçuk Topal
Publisher : Infinite Study
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4./5 ( download)

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Book Synopsis A Python Tool for Implementations on Bipolar Neutrosophic Matrices by : Selçuk Topal

Download or read book A Python Tool for Implementations on Bipolar Neutrosophic Matrices written by Selçuk Topal and published by Infinite Study. This book was released on with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bipolar neutrosophic matrices (BNM) are obtained by bipolar neutrosophic sets. Each bipolar neutrosophic number represents an element of the matrix. The matrices are representable multi-dimensional arrays (3D arrays). The arrays have nested list data type. Some operations, especially the composition is a challenging algorithm in terms of coding because there are so many nested lists to manipulate. This paper presents a Python tool for bipolar neutrosophic matrices. The advantage of this work, is that the proposed Python tool can be used also for fuzzy matrices, bipolar fuzzy matrices, intuitionistic fuzzy matrices, bipolar intuitionistic fuzzy matrices and single valued neutrosophic matrices.

Shortest path problem using Bellman algorithm under neutrosophic environment

Author : Said Broumi
Publisher : Infinite Study
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4./5 ( download)

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Book Synopsis Shortest path problem using Bellman algorithm under neutrosophic environment by : Said Broumi

Download or read book Shortest path problem using Bellman algorithm under neutrosophic environment written by Said Broumi and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: An elongation of the single-valued neutrosophic set is an interval-valued neutrosophic set. It has been demonstrated to deal indeterminacy in a decision-making problem. Real-world problems have some kind of uncertainty in nature and among them; one of the influential problems is solving the shortest path problem (SPP) in interconnections. In this contribution, we consider SPP through Bellman’s algorithm for a network using interval-valued neutrosophic numbers (IVNNs). We proposed a novel algorithm to obtain the neutrosophic shortest path between each pair of nodes. Length of all the edges is accredited an IVNN. Moreover, for the validation of the proposed algorithm, a numerical example has been offered. Also, a comparative analysis has been done with the existing methods which exhibit the advantages of the new algorithm.

International Journal of Neutrosophic Science (IJNS) Volume 1, 2020

Author : Broumi Said
Publisher : Infinite Study
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4./5 ( download)

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Book Synopsis International Journal of Neutrosophic Science (IJNS) Volume 1, 2020 by : Broumi Said

Download or read book International Journal of Neutrosophic Science (IJNS) Volume 1, 2020 written by Broumi Said and published by Infinite Study. This book was released on with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.