Simplex algorithm for hesitant fuzzy linear programming problem with hesitant cost coefficient

In the real world, in most cases, such as industry, management, and even in daily life, we encounter optimization and decision-making problems that require the opinions of experts and masters on the problem to be able to make the best decision. In these cases, it is necessary to use an optimization problem with hesitant fuzzy parameters. There are few studies on hesitant fuzzy linear programming (HFLP) problems. Therefore, in this paper, we consider such problems. Especially, we study HFLP problems with hesitant cost coefficients. For this purpose, we propose the simplex method to solve the introduced optimization problems and draw a flowchart of the proposed method. Finally, by solving two illustrative examples with hesitant fuzzy information, we examine the applicability of the proposed method.

Automated summary

In the real world, we often encounter optimization and decision-making problems that require the input of experts and masters to make the best decisions. However, there are few studies on optimization problems with hesitant fuzzy parameters, especially hesitant fuzzy linear programming (HFLP) problems with hesitant cost coefficients. Therefore, in this paper, we propose the simplex method to solve these problems and evaluate its applicability through two illustrative examples with hesitant fuzzy information.