Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2024
  • Volume: 16
  • Issue: 1

Shortest Path on Triangular Fuzzy Pythagorean Neutrosophic Fuzzy Graphs with Application

1Assistant Professor, PG and Research Department of Mathematics, Cauvery College for Women (Autonomous), Affiliated to Bharathidasan University, Trichy-18, Tamil Nadu, India

2PG Scholar, PG and Research Department of Mathematics, Cauvery College for Women (Autonomous), Affiliated to Bharathidasan University, Trichy-18, Tamil Nadu, India

*E-mail : rdivyamat@gmail.com

**bnandhini1503@gmail.com

Online Published on 19 June, 2024.

Abstract

Using a traingular fuzzy Pythagorean number with dependent Neutrosophic components and Pythagorean fuzzy graph condition, we started a novel method in this research to solve the Neutrosophic Pythagorean shortest route problem in a network. This article's primary goal is to demonstrate the use of Neutrosophic Pythagorean fuzzy graphs. Therefore, we produced the suggested approach, which also provides the length of the shortest path between the source node (SN) and the destination employing the Neutrosophic Pythagorean fuzzy Triangular number as the ranking function, node. Lastly, a representative example is provided for verification.

Keywords

Intuitionistic fuzzy number (IFN), Triangular fuzzy number (TFN), Shortest path (SP), Intuitionistic Triangular Neutrosophic Fuzzy Graph (ITNFG)