Title: Pythagorean fuzzy goal programming: a novel approach and its application

Authors: Sayan Chandra Deb; Sahidul Islam

Addresses: Department of Mathematics, The ICFAI University Tripura, West Tripura – 799210, India ' Department of Mathematics, Kalyani University, West Bengal – 741235, India

Abstract: The present study discusses a novel goal programming technique for solving multi-objective problems. The technique is named Pythagorean fuzzy goal programming. The improved score function of the Pythagorean fuzzy sets has been used to develop the technique. Goal programming (GP) techniques have been proven to be very useful in the field of operations research. GP techniques are used to find the best compromise solutions for a multi-objective programming problem. An example of a supplier selection model is provided where the traditional intuitionistic fuzzy GP technique fails to optimise but the proposed technique provides an optimal solution. This technique is useful for the systems where the other GP techniques fail to provide any results.

Keywords: Pythagorean fuzzy goal programming; goal programming; Pythagorean fuzzy sets; supplier selection model.

DOI: 10.1504/IJOR.2024.140481

International Journal of Operational Research, 2024 Vol.50 No.4, pp.477 - 489

Received: 29 Jan 2021
Accepted: 08 Nov 2021
Published online: 20 Aug 2024 *

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