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 SupplyChainwith bi-level Stackelberg structure. We analyze the reason lead to uncertainties in supply chain, summarizemethods of dealing with uncertainties, and present a fuzzy bi-levelprogramming modeling method which could not only describe thelayered structure but also construct the uncertainties. An actualmathematical model based on fuzzy bi-level programming is appliedin supply chain management. At last, a numerical example is given to provethe validity of the new method.
This article uses a genetic algorithm to solve the series parallel redundancy optimization problem which is in a fuzzy framework. Three nonlinear chance constrained programing models and three goal programing models are formulated based on possibility measure and credibility measure. A fuzzy simulation-based genetic algorithm is then employed to solve these kinds of fuzzy programing. Finally, numerical examples are also given.
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