Algorithm Approaches for Shortest Path Problem in an Interval - Valued Triangular Pythagorean Fuzzy Network

Authors

  • Asim Basha M PG & Resarch Depart of mathematics Jamal Mohamed College (Autonomus) Afiliated to Bharthidasan University, Tiruchirappalli 620020, India;
  • Mohammed Jabarulla M PG & Resarch Depart of mathematics Jamal Mohamed College (Autonomus) Afiliated to Bharthidasan University, Tiruchirappalli 620020, India;

DOI:

https://doi.org/10.23755/rm.v46i0.1064

Keywords:

I - V Pythagorean fuzzy sets (I-VPFS), I – V Pythagorean fuzzy graph (I-VPFG), I – V triangular Pythagorean fuzzy number (IVTPFN), ranking function (RF), I – V Pythagorean fuzzy shortest path problem (I-VPFSPP)

Abstract

It has been proposed to use Pythagorean fuzzy sets (PFS), is an extension of fuzzy sets (FSs), to address uncertainty in practical decision
– making problems. Then the Shortest Path Problem (SPP) is a well
– known network improvement issue with numerous practical applications. Then the shortest Path (SP) and the shortest distance (SD)
in an Interval – valued Pythagorean fuzzy graph (I-VPFG) are found
using a method in the current communication. Nodes and connections are crisp, while the edge weights are I-V triangular Pythagorean
fuzzy numbers (I-VTPFN). Additionally, a numerical example has
been used to demonstrate the suggested strategy.

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Published

2023-03-20

Issue

Vol. 46 (2023): Special Issue: Advance of Mathematics in Science and Engineering

Section

Volume 46-2023

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