Theory and algorithm of fuzzy linear programming methods and a computer program

Fuzzy set theory is used in many fields such as operations research, control theory, management sciences, etc. In particular, one of the applications of this theory in decision-making problems is linear programming problems with fuzzy numbers. Given the nature of data, which is imprecise and ambiguous in the real world, the fully fuzzy linear programming problem will be a powerful tool for modeling the optimization problem. In this paper, using the concept of fuzzy number measurement, efficient methods for solving these problems are introduced and the algorithm of one of them is presented. In the practical part of this paper, the algorithm is implemented in the MATLAB environment and the efficiency of one of the methods (Rubens) is examined by solving various problems and presenting a table.