The Symmetric Banzhaf Value for Fuzzy Games with a Coalition Structure

In this paper,a generalized form of the symmetric Banzhaf value for cooperative fuzzy games with a coalition structure is proposed.Three axiomatic systems of the symmetric Banzhaf value are given by extending crisp case.Furthermore,we study the symmetric Banzhaf values for two special kinds of fuzzy games,which are called fuzzy games with multilinear extension form and a coalition structure,and fuzzy games with Choquet integral form and a coalition structure,respectively.

多层级模糊联盟结构合作对策方法及其性质

针对模糊合作对策中局中人可能形成多层级联盟结构的情况,利用Choquet积分定义多层级模糊联盟结构,提出了班兹哈夫值解概念及其解法。研究此类对策班兹哈夫值满足可加性、联盟内对称性、哑元性及联盟外无关性等性质,并进一步证明其唯一性。通过算例比较分析多层级模糊联盟结构合作对策值班兹哈夫值和夏普利值的异同特性。该班兹哈夫值模糊拓展了多层级合作对策班兹哈夫值,是班兹哈夫值的一般表示形式。