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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. The authors 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.
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