模糊需求下供应链合作博弈的收益分配策略

研究一个由供应商、分销商和零售商组成的三级供应链在模糊需求环境下的合作博弈问题。将市场需求函数中的参数视为三角模糊变量，利用模糊截集理论，建立供应链成员在（S, D, R）型、（S,（D,R））型、（（S,D）,R）型以及（（S,D,R））型等不同情形下的合作博弈模型，并给出模型达到均衡时各参数模糊值的λ水平集。研究结果表明，当供应商、分销商和零售商组成大联盟体时，供应链系统的模糊收益达到最优。为使各成员的模糊收益在大联盟体中均取得改进，采用模糊Shapely值法来分配其模糊收益。最后通过数值算例对模型中的参数进行求解，并给出各成员的具体收益值。

Profit Allocation in Supply Chain Cooperative Games with Fuzzy Demand

This paper researches the cooperative games of a three-stage supply chain which is composed a supplier, a distributor, and a retailer in fuzzy demand environment. The parameters of market linear demand function are regarded as triangular fuzzy numbers. By the method of fuzzy cut sets theory, the modes of different situations, including （S, D, R） model, （S, （D, R）） model, （（S, D）, R） model and （（S, D, R）） model, are built, and the equilibrium values of parameters with λ-level set are also given. It shows that the optimal fuzzy profit of supply chain system can be obtained when all the members compose large alliance body. In order to improve the fuzzy profit of the actors, the method of fuzzy shapely values is proposed to allocate the whole fuzzy profit. Finally, a numerical value is given to illustrate the models and the solution process.