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Shortest Path On Interval Valued Nether Trapezoidal Neutrosophic Fuzzy Graphs
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Book Synopsis Shortest path on interval-valued nether trapezoidal neutrosophic fuzzy graphs by : K. Kalaiarasi
Download or read book Shortest path on interval-valued nether trapezoidal neutrosophic fuzzy graphs written by K. Kalaiarasi and published by Infinite Study. This book was released on with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of this research is introduced to interval-valued trapezoidal neutrosophic fuzzy graph which is combined to trapezoidal fuzzy numbers and interval-valued neutrosophic fuzzy graph. In this analysis, proposed algorithm finds source node and destination node because of the shortest path problem. In this research, we apply trapezoidal number with interval-valued neutrosophic fuzzy graph and finding their score function. Eventually an illustrative example to explain, to easy way of shortest path fuzzy graph.
Book Synopsis Interval Valued Neutrosophic Shortest Path Problem by A* Algorithm by : S. Krishna Prabha
Download or read book Interval Valued Neutrosophic Shortest Path Problem by A* Algorithm written by S. Krishna Prabha and published by Infinite Study. This book was released on 2020-10-01 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many researchers have been proposing various algorithms to unravel different types of fuzzy shortest path problems. There are many algorithms like Dijkstra’s, Bellman-Ford,Floyd-Warshall and kruskal’s etc. are existing for solving the shortest path problems. In this work a shortest path problem with interval valued neutrosophic numbers is investigated using the proposed algorithm. A* algorithm is extensively applied in pathfinding and graph traversal.Unlike the other algorithms mentioned above, A* algorithm entails heuristic function to uncover the cost of path that traverses through the particular state. In the structured work A* algorithm is applied to unravel the length of the shortest path by utilizing ranking function from the source node to the destination node. A* algorithm is executed by applying best first search with the help of this search, it greedily decides which vertex to investigate subsequently. A* is equally complete and optimal if an acceptable heuristic is concerned. The arc lengths in interval valued neutrosophic numbers are defuzzified using the score function. A numerical example is used to illustrate the proposed approach.
Book Synopsis The shortest path problem in interval valued trapezoidal and triangular neutrosophic environment by : Said Broumi
Download or read book The shortest path problem in interval valued trapezoidal and triangular neutrosophic environment written by Said Broumi and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real-life decision-making problem has been demonstrated to cover the indeterminacy through single valued neutrosophic set. It is the extension of interval valued neutrosophic set. Most of the problems of real life involve some sort of uncertainty in it among which, one of the famous problem is finding a shortest path of the network. In this paper, a new score function is proposed for interval valued neutrosophic numbers and SPP is solved using interval valued neutrosophic numbers. Additionally, novel algorithms are proposed to find the neutrosophic shortest path by considering interval valued neutrosophic number, trapezoidal and triangular interval valued neutrosophic numbers for the length of the path in a network with illustrative example. Further, comparative analysis has been done for the proposed algorithm with the existing method with the shortcoming and advantage of the proposed method and it shows the effectiveness of the proposed algorithm.
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.
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.
Book Synopsis An Isolated Interval Valued Neutrosophic Graph by : Said Broumi
Download or read book An Isolated Interval Valued Neutrosophic Graph written by Said Broumi and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interval valued neutrosophic graphs are generalizations of the fuzzy graphs, interval fuzzy graphs, interval valued intuitionstic fuzzy graphs, and single valued neutrosophic graphs. Previously, several results have been proved on the isolated graphs and the complete graphs. In this paper, a necessary and sufficient condition for an interval valued neutrosophic graph to be an isolated interval valued neutrosophic graph is proved.
Book Synopsis Research on the Shortest Path Solution Method of Interval Valued Neutrosophic Graphs Based on the Ant Colony Algorithm by : Lehua Yang
Download or read book Research on the Shortest Path Solution Method of Interval Valued Neutrosophic Graphs Based on the Ant Colony Algorithm written by Lehua Yang and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: The shortest path problem (SPP) is considerably important in several fields. After typhoons, the resulting damage leads to uncertainty regarding the path weight that can be expressed accurately. A neutrosophic set is a collection of the truth membership, indeterminacy membership, and falsity membership degrees of the elements. In an uncertain environment, neutrosophic numbers can express the edge distance more effectively.
Book Synopsis Energy and Spectrum Analysis of Interval Valued Neutrosophic Graph using MATLAB by : Said Broumi
Download or read book Energy and Spectrum Analysis of Interval Valued Neutrosophic Graph using MATLAB written by Said Broumi and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent time graphical analytics of uncertainty and indeterminacy has become major concern for data analytics researchers.In this direction, the mathematical algebra of neutrosophic graph is extended to interval-valued neutrosophic graph. However, building the interval-valued neutrosophic graphs, its spectrum and energy computation is addressed as another issues by research community of neutrosophic environment. To resolve this issue the current paper proposed some related mathematical notations to compute the spectrum and energy of interval-valued neutrosophic graph using the MATAB.
Book Synopsis Shortest Path Problem on Single Valued Neutrosophic Graphs by : Said Broumi
Download or read book Shortest Path Problem on Single Valued Neutrosophic Graphs 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: A single valued neutrosophic graph is a generalized structure of fuzzy graph, intuitionistic fuzzy graph that gives more precision, flexibility and compatibility to a system when compared with systems that are designed using fuzzy graphs and intuitionistic fuzzy graphs.
Book Synopsis Interval , Double-valued Neutrosophic Intuitionistic Fuzzy Graph by : K. Kalaiarasi
Download or read book Interval , Double-valued Neutrosophic Intuitionistic Fuzzy Graph written by K. Kalaiarasi and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of interval, double-valued neutrosophic intuitionistic fuzzy sets is a generalization of fuzzy sets, intuitionistic fuzzy sets, interval valued intuitionistic fuzzy sets. We apply the concept of interval, double-valued neutrosophic intuitionistic fuzzy sets an instance of neutrosophic intuitionistic fuzzy sets, to graphs. We introduce certain types of strong interval ,double-valued neutrosophic intuitionistic fuzzy graphs and investigate some of their properties with proofs and examples.
Book Synopsis INTERVAL VALUED NEUTROSOPHIC GRAPHS by : Said BROUMI
Download or read book INTERVAL VALUED NEUTROSOPHIC GRAPHS 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: The notion of interval valued neutrosophic sets is a generalization of fuzzy sets, intuitionistic fuzzy sets, interval valued fuzzy sets, interval valued intuitionstic fuzzy sets and single valued neutrosophic sets. We apply for the first time the concept of interval valued neutrosophic sets, an instance of neutrosophic sets, to graph theory.
Book Synopsis Operations on single valued neutrosophic graphs with application by : Sumera Naz
Download or read book Operations on single valued neutrosophic graphs with application written by Sumera Naz and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concepts of graph theory are applied in many areas of computer science including image segmentation, data mining, clustering, image capturing and networking. Fuzzy graph theory is successfully used in many problems, to handle the uncertainty that occurs in graph theory. A single valued neutrosophic graph (SVNG) is an instance of a neutrosophic graph and a generalization of the fuzzy graph, intuitionistic fuzzy graph, and interval-valued intuitionistic fuzzy graph. In this paper, the basic operations on SVNGs such as direct product, Cartesian product, semi-strong product, strong product, lexicographic product, union, ring sum and join are defined. Moreover, the degree of a vertex in SVNGs formed by these operations in terms of the degree of vertices in the given SVNGs in some particular cases are determined. Finally, an application of single valued neutrosophic digraph (SVNDG) in traval time is provided.
Book Synopsis INTERVAL VALUED REGULAR NEUTROSOPHIC GRAPH by : V.J. Sudhakar
Download or read book INTERVAL VALUED REGULAR NEUTROSOPHIC GRAPH written by V.J. Sudhakar and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we present the definitions of regular interval valued neutrosophic graphs and we present the concept of regular interval valued neutrosophic graphs and examine the properties of this new concept and example.
Book Synopsis Interval Valued Trapezoidal Neutrosophic Set for Prioritization of Non-functional Requirements by : Kiran Khatter
Download or read book Interval Valued Trapezoidal Neutrosophic Set for Prioritization of Non-functional Requirements written by Kiran Khatter and published by Infinite Study. This book was released on with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper discusses the trapezoidal fuzzy number(TrFN); Interval-valued intuitionistic fuzzy number(IVIFN); neutrosophic set and its operational laws; and, trapezoidal neutrosophic set(TrNS) and its operational laws. Based on the combination of IVIFN and TrNS, an Interval Valued Trapezoidal Neutrosophic Set (IVTrNS) is proposed followed by its operational laws. The paper also presents the score and accuracy functions for the proposed Interval Valued Trapezoidal Neutrosophic Number (IVTrNN). Then, an interval valued trapezoidal neutrosophic weighted arithmetic averaging (IVTrNWAA) operator is introduced to combine the trapezoidal information which is neutrosophic and in the unit interval of real numbers. Finally, a method is developed to handle the problems in the multi attribute decision making(MADM) environment using IVTrNWAA operator followed by a numerical example of NFRs prioritization to illustrate the relevance of the developed method.
Book Synopsis On Strong Interval Valued Neutrosophic Graphs by : Said Broumi
Download or read book On Strong Interval Valued Neutrosophic Graphs written by Said Broumi and published by Infinite Study. This book was released on with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we discuss a subclass of interval valued neutrosophic graphs called strong interval valued neutrosophic graphs, which were introduced by Broumi et al. [41]. The operations of Cartesian product, composition, union and join of two strong interval valued neutrosophic graphs are defined. Some propositions involving strong interval valued neutrosophic graphs are stated and proved.
Book Synopsis Interval Valued Neutrosophic Soft Graphs by : Said Broumi
Download or read book Interval Valued Neutrosophic Soft Graphs written by Said Broumi and published by Infinite Study. This book was released on with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article, we combine the interval valued neutrosophic soft set and graph theory. We introduce the notions of interval valued neutrosophic soft graphs, strong interval valued neutrosophic graphs, complete interval valued neutrosophic graphs, and investigate some of their related properties. We study some operations on interval valued neutrosophic soft graphs. We also give an application of interval valued neutrosophic soft graphs into a decision making problem. We hold forth an algorithm to solve decision making problems by using interval valued neutrosophic soft graphs.
Book Synopsis Operations on Interval Valued Neutrosophic Graphs by : BROUMI, S.
Download or read book Operations on Interval Valued Neutrosophic Graphs written by BROUMI, S. and published by Infinite Study. This book was released on with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining the single valued neutrosophic set with graph theory, a new graph model emerges, called single valued neutrosophic graph.
