LR-type fully Pythagorean fuzzy linear programming problems with equality constraints

A Pythagorean fuzzy set is a powerful model for depicting fuzziness and uncertainty. This model is more flexible and practical as compared to an intuitionistic fuzzy model. This research article presents a new model called LR-type fully Pythagorean fuzzy linear programming problem. We consider the notions of LR-type Pythagorean fuzzy number, ranking for LR-type Pythagorean fuzzy numbers and arithmetic operations for unrestricted LR-type Pythagorean fuzzy numbers. We propose a method to solve LR-type fully Pythagorean fuzzy linear programming problems with equality constraints. We describe our proposed method with numerical examples including diet problem.

Automated summary

A Pythagorean fuzzy set serves as a robust model for illustrating fuzziness and uncertainty, proving to be more adaptable and practical than an intuitionistic fuzzy model. This research introduces a new model known as LR-type fully Pythagorean fuzzy linear programming problem, offering a method to solve it with numerical examples. The LR-type Pythagorean fuzzy number, ranking system, and arithmetic operations are considered within this context.