An Algorithm for Solving Rule Sets-Based Bilevel Decision Problems

Bilevel decision addresses the problem in which two levels of decision makers, each tries to optimize their individual objectives under certain constraints, and to act and react in an uncooperative and sequential manner. Given the difficulty of formulating a bilevel decision problem by mathematical functions, a rule-sets based bilevel decision model was proposed. This paper presents an algorithm to solve a rule-sets based bilevel decision problem. A case based example is given to illustrate the functions of the proposed algorithm. Finally, a set of experiments is analyzed to further show the functions and the effectiveness of the proposed algorithm.