A hybrid method for solving fuzzy semi-infinite linear programming problems

Abstract

Abilities of fuzzy models in more adaptations with the real world phenomena causes that in this paper, we remodel semi-infinite linear programming problems as fuzzy problems which contained the crisp objective function and the infinite number of fuzzy constraints. Then, we introduce a new hybrid solution method for these fuzzy semi-infinite linear programming problems. This solution technique is a kind of cutting plane algorithm in which its sub-problems were solved by using the Zimmermannmethod. Convergence of the presented algorithm is proved, and some numerical test examples are given and also the obtained results are compared.