Shortest Path Problem using Pythagorean Fuzzy Triangular Number

M. Asim Basha¹, M. Mohammed Jabarulla¹, Broumi said²

¹ PG and Research Department of Mathematics, Jamal Mohamed College (Autonomous), Tiruchirappalli – 620020, Tamil Nadu, India

² Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco

Emails: asimbasha36@gmail.com; m.md.jabarulla@gmail.com; broumisaid78@gmail.com

Abstract

This paper, they developed a new path to compromise with Pythagorean Shortest Path Problem (PSPP) in a network location each edge weight is expressed an Triangular Fuzzy Pythagorean Numbers (TFPNs). Then the Proposed Algorithm (PA) further provide the SP length from the source node (SN) to destination node (DN) from applying a Ranking Function for Pythagorean Fuzzy Numbers (PFN). Certainly, a descriptive example is also included.

Keywords: Pythagorean fuzzy numbers (PFN); Triangular Pythagorean fuzzy numbers (TPFN); Score function (SF); Shortest path problem (SPP).