Research About Solution Of Fuzzy Game And Application In Supply Chain

Game theory has always been the focus of attention of scholars. It is widely used inthe production and life of many subjects. With the in-depth study of fuzzy mathematics,fuzzy game theory has more application value. Due to the existing fuzzy game solutionsare only based on fuzzy interval number or fuzzy number sectional set to calculate andthe study is always studied separately from the fuzzy return value and fuzzyparticipation at the same time. The solution can not fully reflect the essence of fuzzycooperative game, and the calculation process is very complex. By using fuzzystructured element theory, it redefined the fuzzy Shapley value and the fuzzy Owencoalition value of the fuzzy cooperative game and the fuzzy Nash equilibrium solutionof the fuzzy non-cooperative game in the uncertain environment. They are can beapplied to the problem of the profit distribution in three-level supply chain. The theoryproof and the example in this paper validate the feasibility of the new solutions. The擦calculation difficulties of the fuzzy game and fuzzy chain can be greatly simplified byusing fuzzy structured element theory.