Fully Pythagorean fuzzy linear programming problems with equality constraints

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.

Automated summary

The study extends the concept of crisp linear programming problems in a Pythagorean fuzzy environment using triangular Pythagorean fuzzy numbers. It considers profit/cost coefficients, input/output coefficients, and decision variables as triangular Pythagorean fuzzy numbers when solving linear programming problems. The proposed technique is applied to solve practical models with equality constraints for non-negative and unrestricted triangular Pythagorean fuzzy numbers.