Rough approximation based decentralized bi-level model for the supply chain distribution problem

Abstract

This paper considers a core enterprise-dominant supply chain distribution modeling problem under a fuzzy environment. In particular, the common benefit and mutual interact of the upstream and downstream enterprise in the supply chain is considered. Thus, a decentralized bi-level programming model is constructed. To deal with the fuzzy parameters in the objective functions, an expected value operation based on Me is employed. As to the feasible region with fuzzy coefficient, a similarity relation based on the fuzzy measure Pos is defined, based on which, the rough approximation method is adopted. Then, two rough approximation models (UAM and LAM) is developed. To solve the two models, a rough simulation is developed, after which the fuzzy interactive programming and genetic algorithm can be adopted to find the solutions. © Springer-Verlag Berlin Heidelberg 2014.