Fully Pythagorean fuzzy linear programming problems with equality constraints

被引:0
作者
Muhammad Akram
Inayat Ullah
Tofigh Allahviranloo
S. A. Edalatpanah
机构
[1] University of the Punjab,Department of Mathematics
[2] Bahcesehir University,Faculty of Engineering and Natural Sciences
[3] Ayandegan Institute of Higher Education,Department of Applied Mathematics
来源
Computational and Applied Mathematics | 2021年 / 40卷
关键词
Pythagorean fuzzy sets; Linear programming problem; Ranking function; Triangular Pythagorean fuzzy numbers; 90C05; 90C70;
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摘要
There are several daily life problems where we have to deal with the uncertainties and we are forced to solve the uncertain linear programming models. Certain methods have been presented for dealing with linear programming problems based on fuzzy sets and intuitionistic fuzzy sets which are characterized by membership degree, membership and non-membership degrees, respectively. In this study, we first extend the concept of crisp linear programming problem in Pythagorean fuzzy environment based on triangular Pythagorean fuzzy numbers. The profit/cost coefficients in objective function, input/output coefficients and right-hand side coefficients and decision variables of a linear programming problem are considered as triangular Pythagorean fuzzy numbers. Further, we present methods for solving fully Pythagorean fuzzy linear programming problems for non-negative and unrestricted triangular Pythagorean fuzzy numbers with equality constraints. We also apply the proposed technique to solve practical models.
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