The solution approach to linear fuzzy bilevel optimization problems

In the present paper, a solution approach to fuzzy bilevel optimization problem is given for the linear case. We use -cuts of the fuzzy polytopes to attack the fuzzy optimization problem on upper level. Then, crisp optimization problems arise. Thus, the solution of the fuzzy upper level problem turns out to be a union of the solutions of these crisp problems on all -cuts. The solution approach for the lower level fuzzy optimization problem was investigated by the author in previous publications and is implemented in the present paper.