模糊合作博弈及其广义核心解的应用研究.pdfVIP

( ) 计算机工程与设计 Computer Engineering and Design 1372 2010,31 6 计算机工程与设计 Computer Engineering and Design 开发与应用 模糊合作博弈及其广义核心解的应用研究 李 翠， 刘小冬 ( 西安财经学院信息学院，陕西 西安710100) ( ) ( N) 摘 要：为了解决模糊合作博弈传统核心解在资源分配问题中的应用局限，提出了对模糊合作博弈 N ，v 中总收益值v e 进 行保留，不将全部总收益值分配给所有参与者，进而实现资源再分配或再发展的方案，进一步适应模糊合作博弈核心解的 应用需求。首先定义了广义转归、广义核心、广义稳定集等解的概念，然后指出了其含义，在此基础上描述了模糊合作博弈 模型。最后以定理证明了各广义核心解之间的关系，说明通过相应系数的调整即可提供合理的分配方案，表明了推广后的 模糊合作博弈核心解具有更高的理论及应用价值。 关键词：模糊联盟; 模糊合作博弈; 广义转归; 广义核心; 广义稳定集 中图法分类号：TP391 文献标识码：A 文章编号：1000-7024 (2010) 06-1372-04 Cooperative fuzzy games and application research of generalized cores LI Cui, LIU Xiao-dong (School of Information, Xi ’an University of Finance and Economics, Xi ’an 710100, China) Abstract ：To resolve the application deficiency of traditional cores for cooperative fuzzy game in distribution theory, a method of re- distribution and redevelopment is presented by keeping some of the gains of the fuzzy game and distribute only part of the total value v ( N) ( ) e of a fuzzy game N, v , thus they can adapt for extensive demand of cores for cooperative fuzzy game. Firstly, generalized imputation, generalized cores and generalized stable sets are defined. Then, it is pointed out that their meanings, and the model of coo- perative fuzzy game is represented. Finally, the theorem are presented to verify the interrelations of generalized cores, the rational dis- tribution methods are provided by adjusting responding coefficient, the value of generalized cores for coop