Methodology of Fuzzy Linear Symmetrical Bi-level Programming and its Application in Supply Chain Management

Fuzzy linear symmetrical bi-level programming is the most extensive problem in multi-level programming. A new method based on tolerance degree has been introduced in this paper. The method mainly concerns the modeling of complicated Supply Chain with bi-level Stackelberg structure. We analyze the reason lead to uncertainties in supply chain, summarize methods of dealing with uncertainties, and present a fuzzy bi-level programming modeling method which could not only describe the layered structure but also construct the uncertainties. An actual mathematical model based on fuzzy bi-level programming is applied in supply chain management. At last, a numerical example is given to prove the validity of the new method.