总结了Mare∨s、Nishizaki和Sakawa在模糊核心方面的研究成果,分析了Mare∨s、Nishizaki和Sakawa方法存在的问题及其相互关系,针对已有模糊核心研究存在的问题,重新定义了模糊支付合作对策的模糊核心,给出了该模糊核心的存在条件、模糊核心与模糊Shapley值的关系,并在此基础上提出了基于模糊核心和模糊Shapley值的收益分配策略。
The fuzzy cores proposed by Mares∨,Nishizaki and Sakawa have been introduced and analyzed.Because these fuzzy cores have some disadvantages,we define a new kind of fuzzy cores for cooperative games with fuzzy characteristic function.The nonempty condition of the new fuzzy cores is studied.The relationship between the new fuzzy cores and fuzzy Shapley value is also given.Moreover,the optimistic allocation scheme is given based on fuzzy Shapley and the new fuzzy core.