Fuzzy Approach for Bi-Level Programming Problems

Abstract

Bi-level programming problem (BLPP) can make the final decision result is a mutually coordinated scheme among all layers, which can solve complex practical problems well. This paper summarizes and describes the methods to solve the bi-level programming problem, and proposes a fuzzy method to solve the BLPP by using the concepts of membership function and multiobjective optimization to solve the bilevel programming problem, and gives a numerical example to solve it. It also points out that developing a method to solve fuzzy problems and new concepts to solve multi-level programming problems are practical directions for future research.