¹Department of Applied Mathematics, Shanghai Maritime University, Shanghai, P. R. China
²School of Management & Economy, Beijing Institute of Technology, Beijing, P. R. China
³College of Information Engineering, Shanghai Maritime University, Shanghai, P. R. China

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Abstract—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.

Index Terms—supply chain management, bi-level program ming, fuzzy sets, Stackelberg decision making, algorithm

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Cite: Wei Deng, Qizong Wu, Jibin Li, "Methodology of Fuzzy Linear Symmetrical Bi-level Programming and its Application in Supply Chain Management," Journal of Software vol. 6, no. 1, pp. 83-90, 2011.