An Efficient Approach for Solving Time-Dependent Shortest Path Problem under Fermatean Neutrosophic Environment

Authors

  • Vidhya K Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Chengalpattu, 603203, TamilNadu, India
  • Saraswathi A Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Chengalpattu, 603203, TamilNadu, India
  • Said Broumi Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco

Keywords:

Fuzzy set theory, fermatean neutrosophic numbers, Reversal Dijikstra’s Algorithm, Time- dependent Shortest Path Problem, Score Function, Shortest Travel time

Abstract

Efficiently determining optimal paths and calculating the least travel time within complex networks is of utmost importance in addressing transportation challenges. Several techniques have been developed to identify the most effective routes within graphs, with the Reversal Dijkstra algorithm serving as a notable variant of the classical Dijkstra’s algorithm. To accommodate uncertainty within the Reversal Dijkstra algorithm, Fermatean neutrosophic numbers are harnessed. The travel time associated with the edges, which represents the connection between two nodes, can be described using fermatean neutrosophic numbers. Furthermore, the edge weights in fermatean neutrosophic graphs can be subject to temporal variations, meaning they can change over time. In
this study, an extended version of the Reversal Dijkstra algorithm is employed to discover the shortest path and compute the minimum travel time within a single-source time-dependent network, where the edges are weighted using fermatean neutrosophic representations. The proposed method is exemplified, and the outcomes affirm the effectiveness of the expanded algorithm. The primary aim of this article is to serve as a reference for forthcoming shortest path algorithms designed for time-dependent fuzzy graphs

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Published

2024-01-15

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Vidhya K, Saraswathi A, & Said Broumi. (2024). An Efficient Approach for Solving Time-Dependent Shortest Path Problem under Fermatean Neutrosophic Environment. Neutrosophic Sets and Systems, 63, 82-94. https://fs.unm.edu/nss8/index.php/111/article/view/3876

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