模糊限制合作对策的刻画及其解结构特性研究

项目名称： 模糊限制合作对策的刻画及其解结构特性研究

项目编号： No.71271029

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 管理科学

项目作者： 逄金辉

作者单位： 北京理工大学

项目金额： 53万元

中文摘要： 模糊对策环境中，合作参与者一般是在某些模糊因素制约下结盟，形成具有模糊限制的合作对策，因此研究模糊限制合作对策及其解结构特性问题具有重要的理论与现实意义。 本项目针对不同限制和模糊环境下合作对策系统的特点，分析模糊限制特性及其对合作方式产生的影响，研究有效联盟形成机理，建立可实现的多模式联盟结构数学模型；研究局中人之间、联盟之间相互作用的测度方法，分析局中人理性选择行为模式；在不同类型联盟结构上刻画模糊合作对策，研究该类对策解结构特性，并给出算法；充分考虑模糊限制因素，在受限的模糊联盟上定义合作对策，构建模糊限制合作对策解的公理化理论体系，并深入讨论这些理论成果在虚拟企业收益分配与成本分摊等问题中的应用。 研究成果将进一步丰富和发展模糊合作对策理论，为模糊合作对策理论提供一种新的研究途径和方法。

中文关键词： 联盟结构；模糊偏好；模糊限制；模糊积分；模糊合作对策

英文摘要： In fuzzy game environment, cooperation participants generally ally under the control of some fuzzy factors and form a fuzzy constraint cooperative game, so it is of important theoretical and practical significance to research the cooperative game with fuzzy constraints and to research the solution structure characteristics. Due to different restrictions and characteristics reflected from a cooperative game system in fuzzy environment, we at first analyze the properties of fuzzy constraints and their impacts on cooperation modes. The mathematics model of realizable multi-mode alliance will be built after studying the effctive alliance mechanism. Secondly, we research the interaction measure among players and alliances, and analyze palyers' rational choice behavior patterns. Thirdly, we depict cooperative game on different coalition structures, research the structure characteristics of solutions,and meanwhile, give algorithms. Fully considering the fuzzy limiting factors, we define a cooperative game on limiting coalition and construct the axiomatic solution system. As an application, we further discussed the theoretical results in the problems of a virtual enterprise income distribution and the cost allocation. The research results will further enrich and develop the fuzzy cooperative game theory and provide a n

英文关键词： fuzzy coalitions；fuzzy preference；fuzzy constrict；fuzzy integral；fuzzy cooperative game