Methods for Solving  L R -Type Pythagorean Fuzzy Linear Programming Problems with Mixed Constraints | Zendy

Muhammad Akram | Zendy; Inayat Ullah | Zendy; Majed Alharbi | Zendy

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Methods for Solving

L R

-Type Pythagorean Fuzzy Linear Programming Problems with Mixed Constraints

Author(s) -

Muhammad Akram,

Inayat Ullah,

Majed Alharbi

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/4306058

Subject(s) - pythagorean theorem , mathematics , pythagorean triple , type (biology) , degree (music) , equivalence (formal languages) , set (abstract data type) , fuzzy logic , discrete mathematics , algorithm , algebra over a field , computer science , artificial intelligence , pure mathematics , programming language , ecology , physics , geometry , acoustics , biology

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 L R -type fully Pythagorean fuzzy linear programming problems with mixed constraints having unrestricted L R -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.

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