摘要
首先通过对清晰拟阵定义的拓展,给出了模糊拟阵的概念。通过定义具有多线性扩展形式的模糊合作对策在静态结构和动态结构拟阵上B anzhaf函数的公理体系,分别探讨了此类模糊合作对策在这两种拟阵上关于B anzhaf函数的存在性和唯一性。同时,通过定义具有Choquet积分形式模糊合作对策在静态结构和动态结构拟阵上B anzhaf函数的公理体系,分别探讨了此类模糊合作对策在这两种拟阵上关于B anzhaf函数的存在性和唯一性。
In this paper,the definition of the fuzzy matroids is obtained by extending the crisp case.The existence and uniqueness of the Banzhaf function on matroids with static and dynamic structure are discussed for fuzzy cooperative games with multilinear extension form by corresponding axiomatic systems.At the same time,the axiomatic systems for the Banzhaf function on matroids with static and dynamic structure are proposed for fuzzy cooperative games with Choquet integral form,the existence and uniqueness of the Banzhaf function are also studied for this kind of fuzzy cooperative games on matroids.
出处
《模糊系统与数学》
CSCD
北大核心
2011年第5期106-114,共9页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(707710107080106471071018)
