Methods for Solving - Type Pythagorean Fuzzy Linear Programming Problems with Mixed Constraints

Muhammad Akram, Inayat Ullah and Majed G. Alharbi

Mathematical Problems in Engineering, 2021, vol. 2021, 1-29

Abstract:

A Pythagorean fuzzy set is the superset of fuzzy and intuitionistic fuzzy sets, respectively. Yager proposed the concept of Pythagorean fuzzy sets in which he relaxed the condition that sum of square of both membership degree and nonmembership degree of an element of a set must not be greater than 1. This paper introduces two new techniques to solve - type fully Pythagorean fuzzy linear programming problems with mixed constraints having unrestricted - type Pythagorean fuzzy numbers as variables and parameters by introducing unknown variables and using a ranking function. Furthermore, we show the equivalence of both the proposed methods and compare the solutions obtained by the two techniques. Besides this, we solve an already existing practical model using proposed techniques and compare the result.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:4306058

DOI: 10.1155/2021/4306058

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