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 -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.