• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology

Article

Indian Journal of Science and Technology

Year: 2024, Volume: 17, Issue: Special Issue 1, Pages: 103-108

Original Article

To Solve Pythagorean Fuzzy Decagonal Transportation Problem Using Bipartite Graph with Optimal Solution

Received Date:29 August 2023, Accepted Date:05 March 2024, Published Date:31 May 2024

Abstract

Objectives: This study aims to solve the Pythagorean fuzzy transportation problem by means of providing a novel approach. Methods: To determine the optimum decision-making, we applied the MODI approach. To illustrate the proposed approach, we applied several types of numerical issues. An algorithm for solving the suggested technique is described. Findings: This study presents a bipartite graph-based strategy to the Pythagorean fuzzy transportation problem. Applying TORA statistical software, the data analysis discovered that the crisp model becomes linear when the membership function is applied. Novelty: This study has paved a way for better optimal results to obtain when the Pythagorean fuzzy set is converted using the score function instead of the standard techniques for Defuzzification.

Keywords: Score Function, Pythagorean Fuzzy, Defuzzification, Pythagorean Fuzzy Transportation Problem, Decagonal Fuzzy Number, Ranking Method, Initial Basic Feasible Solution, and Optimal Solution

References

  1. Jayapriya V, Porchelvi RS. Pythagorean fuzzification and defuzzification functions. Malaya Journal of Matematik. 2021;9(1):286–290. Available from: https://dx.doi.org/10.26637/mjm0901/0048
  2. Nagar P, Srivastava PK, Srivastava A. Optimization of Fuzzy Species Pythagorean Transportation Problem under Preserved Uncertainties. International Journal of Mathematical, Engineering and Management Sciences. 2021;6(6):1629–1645. Available from: https://dx.doi.org/10.33889/ijmems.2021.6.6.097
  3. Prabha SK. Geometric mean with pythagorean fuzzy transportation problem. Turkish Journal of Computer and Mathematics Education. 2021;12(7):20775–20786. Available from: https://turcomat.org/index.php/turkbilmat/article/view/2727

Copyright

© 2024 Banu & Prasanna. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)

DON'T MISS OUT!

Subscribe now for latest articles and news.