计算机工程与应用Issue(19)：25-30,6.DOI:10.3778/j.issn.1002-8331.1306-0123
要素双重模糊下的合作博弈Shapley值的算法
Algorithm of Shapley value for cooperative games with dual fuzzy factors
摘要
Abstract
Considering that in the practical applications, the player can attend different league with the different participation, and they don’t sure benefits before cooperation under different cooperation strategy choice, the paper uses fuzzy mathematics theory in the traditional cooperative game. This paper expands benefits and participation as fuzzy numbers based on the Choquet integral and gives the definition of fuzzy cooperative games and fuzzy Shapley value with dual fuzzy factors. The fuzzy structured element theory is applied to analyze fuzzy cooperative games with dual fuzzy factors. The membership function of the fuzzy Shapley value can get analytic expression. An example is used to illustrate the specific application of the model. It can be seen that this method and conclusion is easy to master and promote. Fuzzy cooperative game theory can be applied more widely to real life.关键词
合作博弈/模糊数学/Shapley值/结构元Key words
cooperative games/fuzzy mathematics/Shapley value/structured element分类
信息技术与安全科学引用本文复制引用
赵宝福,张艳菊..要素双重模糊下的合作博弈Shapley值的算法[J].计算机工程与应用,2013,(19):25-30,6.基金项目
国家自然科学基金（No.71201012）；教育部人文社会科学研究规划基金（No.12YJC630071）；葫芦岛市科技局研究项目。 （）
