A Fuzzy Approach for Bi-Level Programming Problems

Abstract

Bi-level programming problem (BLPP) could affect the final decision; its result is a mutually coordinated scheme among all layers and can help solve complex practical problems. Methods to solve the BLPP have been summarized and described in this paper. A fuzzy method was applied to solve the BLPP by using the concept of coupled membership function for multi-objective optimization programming. In addition, a numerical example has been employed to show the calculation processes. It is also proposed that the future research direction is the solution of fuzzy optimization problems in multi-level programming problems.

Keywords: bi-level programming, Kth-best algorithm, fuzzy approach