Kth-Best Algorithm for Fuzzy Bilevel Programming

Organizational decision making often involves two decision levels. When the leader at the upper level attempts to optimize hislher objective, the follower at the lower level tries to find an optimized strategy according to each of possible decisions made by the leader. Furthermore, such bilevel decision making may involve uncertain parameters which appear either in the objective functions or constraints of the leader or the follower. Following our previous work, this study first proposes a fuzzy parameter bilevel programming model and related theories. It then develops an approximation Kth-Best algorithm for solving such fuzzy bilevel programming problems. A numerical example further illustrates the proposed algorithm.