基于Choquet积分n人对策广义模糊延拓方法

摘要

由于n人对策任意的联盟可由它的特征向量来等价的表示,本文借助Choquet积分,提出了一种将n人对策从{0,1}n延拓到广义模糊联盟[-1,1]n上的广义模糊延拓方法,详细讨论了这种广义模糊延拓的一些性质,给出了它的两种具体表现形式,进一步研究它与经典n人对策核心之间的关系.%Based on Choquet integral, a generalized fuzzy extension of n-persons game is investigated, which is extended from classical coalition {0,1}" to generalized fuzzy coalition [-1, l]n. Some properties of the generalized fuzzy extension are discussed, and two discrete expressions of the generalized fuzzy extension are given. The relationship between the generalized fuzzy extension and the core of n-persons games is investigated.