Shortest Path Problem Using Bellman Algorithm Under Neutrosophic Environment
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Shortest Path Problem Using Bellman Algorithm Under Neutrosophic Environment
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Author : Said Broumi
language : en
Publisher: Infinite Study
Release Date :
Shortest Path Problem Using Bellman Algorithm Under Neutrosophic Environment written by Said Broumi 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.
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.
Shortest Path Solution Of Trapezoidal Fuzzy Neutrosophic Graph Based On Circle Breaking Algorithm
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Author : Lehua Yang
language : en
Publisher: Infinite Study
Release Date :
Shortest Path Solution Of Trapezoidal Fuzzy Neutrosophic Graph Based On Circle Breaking Algorithm written by Lehua Yang 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.
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. In uncertain environments, the neutrosophic number can more effectively express the edge distance.
Shortest Path Solution Of Trapezoidal Fuzzy Neutrosophic Graph Based On Circle Breaking Algorithm
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Author : Lehua Yang
language : en
Publisher: Infinite Study
Release Date :
Shortest Path Solution Of Trapezoidal Fuzzy Neutrosophic Graph Based On Circle Breaking Algorithm written by Lehua Yang 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.
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.
Research On The Shortest Path Solution Method Of Interval Valued Neutrosophic Graphs Based On The Ant Colony Algorithm
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Author : Lehua Yang
language : en
Publisher: Infinite Study
Release Date :
Research On The Shortest Path Solution Method Of Interval Valued Neutrosophic Graphs Based On The Ant Colony Algorithm written by Lehua Yang 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.
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.
The Shortest Path Problem In Interval Valued Trapezoidal And Triangular Neutrosophic Environment
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Author : Said Broumi
language : en
Publisher: Infinite Study
Release Date :
The Shortest Path Problem In Interval Valued Trapezoidal And Triangular Neutrosophic Environment written by Said Broumi 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.
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.
Computation Of Shortest Path Problem In A Network With Sv Trapezoidal Neutrosophic Numbers
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Author : Said Broum
language : en
Publisher: Infinite Study
Release Date :
Computation Of Shortest Path Problem In A Network With Sv Trapezoidal Neutrosophic Numbers written by Said Broum 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 work, a neutrosophic network method is proposed for finding the shortest path length with single valued trapezoidal neutrosophic number. The proposed algorithm gives the shortest path length using score function from source node to destination node. Here the weights of the edges are considered to be single valued trapezoidal neutrosophic number. Finally, a numerical example is used to illustrate the efficiency of the proposed approach.
Shortest Path Problem Under Interval Valued Neutrosophic Setting
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Author : Said Broumi
language : en
Publisher: Infinite Study
Release Date :
Shortest Path Problem Under Interval Valued Neutrosophic Setting written by Said Broumi 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 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.
Study On Single Valued Neutrosophic Graph With Application In Shortest Path Problem
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Author : Ruxiang Liu
language : en
Publisher: Infinite Study
Release Date :
Study On Single Valued Neutrosophic Graph With Application In Shortest Path Problem written by Ruxiang Liu 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.
Fuzzy set and neutrosophic set are two efficient tools to handle the uncertainties and vagueness of any real-world problems. Neutrosophic set is more useful than fuzzy set (intuitionistic fuzzy sets) to manage the uncertainties of a real-life problem. This study introduces some new concepts of single-valued neutrosophic graph (SVNG). The authors have discussed the definition of regular SVNG, complete SVNG and strong SVNG. The shortest path problem is a well-known combinatorial optimisation problem in the field of graph theory due to its various applications. Uncertainty is present in almost every application of shortest path problem which makes it very hard to decide the edge weight properly.
Shortest Path Problem In Fuzzy Intuitionistic Fuzzy And Neutrosophic Environment An Overview
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Author : Said Broumi
language : en
Publisher: Infinite Study
Release Date :
Shortest Path Problem In Fuzzy Intuitionistic Fuzzy And Neutrosophic Environment An Overview written by Said Broumi 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.
In the last decade, concealed by uncertain atmosphere, many algorithms have been studied deeply to workout the shortest path problem. In this paper, we compared the shortest path problem with various existing algorithms. Finally, we concluded the best algorithm for certain environment.
Interval Valued Neutrosophic Shortest Path Problem By A Algorithm
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Author : S. Krishna Prabha
language : en
Publisher: Infinite Study
Release Date : 2020-10-01
Interval Valued Neutrosophic Shortest Path Problem By A Algorithm written by S. Krishna Prabha and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-01 with Mathematics categories.
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.