The shortest path problem on hill stations in India under single valued triangular neutrosophic fuzzy graph

Authors

  • M. Bhuvaneshwari Department of Mathematics,\\ SRM TRP Engineering College,\\ Tiruchirapalli-621105, Tamil Nadu, India.
  • S. Poongodisathiya Department of Mathematics and Statistics,\\ Faculty of Science and Humanities,\\ SRM Institute of Science and Technology,\\ Kattankulathur, Chengalpattu, Tamilnadu, India
  • R. Divya PG and Research Department of Mathematics,\\ Cauvery College for Women (Autonomous),\\ Affiliated to Bharathidasan University,\\ Trichy-18, Tamil Nadu, India
  • Duraisamy Kumar Department of Mathematics,\\ SRM TRP Engineering College,\\ Tiruchirapalli-621105, Tamil Nadu, India.

Abstract

 In this article, a real life application on hill stations in India under single valued triangular  neutrosophic fuzzy graphs was Inaugurated, which is drew on triangular numbers and Single valued Neutrosophic Fuzzy Graph. Real-world application is given as an illustrative model for single valued Triangular Neutrosophic Fuzzy Graph.Here  we introduced hill stations in India. Here we assume only seven types of hill stations in India under single valued Triangular Neutrosophic Fuzzy Graph. Use of fuzzification method, edge weights of this Graph was calculated and with the help of this score function  in the proposed algorithm, shortest way is determined.

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Published

2024-11-30

Issue

Vol. 31 No. 4 (2024): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2024 M. Bhuvaneshwari, S. Poongodisathiya, R. Divya, Duraisamy Kumar

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

The shortest path problem on hill stations in India under single valued triangular neutrosophic fuzzy graph. (2024). Nonlinear Studies, 31(4), 1359-1368. https://nonlinearstudies.com/index.php/nonlinear/article/view/3773