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

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Saghi S.; Nazemi A.; Effati S.; Ranjbar M.

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Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2023 | Volume:20 | Issue:1 Page(s): 137-152

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Information Journal Paper

Title

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

Author(s)

Saghi S. | Nazemi A. | Effati S. | Ranjbar M. | Issue Writer Certificate

Keywords

Hesitant fuzzy linear programming

Hesitant fuzzy number

Ranking function

Hesitant fuzzy simplex algorithm

Abstract

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.

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