Solution algorithm of the fuzzy fractional bilevel linear programming problem

In this paper, effort has been made to solve the fuzzy fractional bilevel linear programming (FFBLP) problem with fuzzy parameters in the objective functions and constraints. These are among the problems that have been popular with only a few researchers in the recent years. We will first review the related literature and then study the solution procedures of such problems. The objective in solving FFBLP problems is to use a-cut sets of fuzzy parameters and change them to interval coefficients. This way, the FFBLP changes to the interval FFBLP (IFFBLP) problem. Since fuzzy coefficients change to interval ones, the optimal solutions of the upper level objective functions of the FFBLP problem will be estimated under a specified interval through determining the best and worst optimal solutions of the IFFBLP problem by using the Kth-best algorithm.