一类部分合作对策解的研究

A cooperative game with a priori unions includes information on possible previous relationships between the players which could influence the way in which these players cooperate. A cooperative game with a communication structure, the so-called graph game, can well reflect hierarchical relationship between the players and situation of their communication. These games belong to the partial cooperation games, more and more scholars have paid their attention on them. The project will generalize classical graph-restricted n-person game with a system of unions from two aspects. First, using fuzzy mathematics, we will study graph-restricted n-person game with a system of unions based on fuzzy coalition and fuzzy payoff. Second, we will study games with communication structure based on fuzzy coalition by employing graph theory. We will study solution concepts under new axiomatics and then study the properties of these solution concepts. Besides, we will analyze the relationship among these solution concepts. The project will develop the partial cooperation games theory. Therefore, this project has an important theoretical and applied value and then make the distribution model is more reality.

具有联盟结构的合作对策包含局中人之间可能的先前关系的信息,这影响着局中人之间的合作。而具有交流结构的合作对策(图对策)能够很好体现出可行联盟内部的局中人之间的层次关系和交流情况。它们是两类重要的部分合作对策, 正受到越来越多学者的关注。本项目主要扩展图限制下具有联盟结构的合作对策与具有交流结构的合作对策解的研究，研究内容一是利用模糊数学知识研究基于模糊联盟和模糊支付的图限制下具有联盟结构的合作对策， 其二利用图论等相关知识研究基于交流结构的模糊联盟的合作对策。本项目拟在新的公理体系下，分别研究各合作对策的各种解的形式，并对解的性质和公理化特征进行研究，对各种解之间的关系进行比较分析。通过本项目的研究，丰富和完善部分合作对策的理论体系，使收益分配模型更符实际问题。

具有联盟结构的合作对策包含局中人之间可能的先前关系的信息,这影响着局中人之间的合作。而具有交流结构的合作对策(图对策)能够很好体现出可行联盟内部的局中人之间的层次关系和交流情况。它们是两类重要的部分合作对策, 正受到越来越多学者的关注。本项目主要扩展图限制下具有联盟结构的合作对策与具有交流结构的合作对策解的研究，研究内容一是利用模糊数学知识研究基于模糊联盟和模糊支付的图限制下具有联盟结构的合作对策， 其二利用图论等相关知识研究基于交流结构的模糊联盟的合作对策。通过本项目的研究，丰富和完善部分合作对策的理论体系，使收益分配模型更符实际问题。