模糊环境下模糊联盟收益分配模型和算法研究  

The Model and Algorithm of Fuzzy Coalition's Payoffs Allocation Based on Fuzzy Theory

作　　者：郭鹏[1] 陈玲丽[1] 

机构地区：[1]西北工业大学管理学院,陕西西安710129

出　　处：《模糊系统与数学》2014年第3期103-107,共5页Fuzzy Systems and Mathematics

基　　金：西北工业大学研究生创业种子基金资助项目(z2012170)

摘　　要：合理地度量与评价盟员在联盟中的贡献,制定公平的收益分配方案是联盟合作成功的关键。然而在现实生活中,某些情况下盟员并不是完全投入到某一联盟中,并且参与联盟的程度常常是模糊的。因此,在这种情况下引入合作博弈和模糊理论来研究模糊联盟收益分配问题是十分必要的。在模糊博弈环境下,引入模糊变量的可信性测度,建立了模糊联盟收益分配的模糊期望值规划模型,并设计了一个遗传算法来解决提出的模型问题,最后用算例进行了分析论证。Rationally evaluating each player＇s contribution and building up a just and fair allocation project is the key for a successful coalition. However, there are some situations where some players do not fully participate in a coalition, but to a certain extent that is fuzzy, therefore it is necessary to address the payoffs allocation problem of the fuzzy coalition using the cooperative games theory and fuzzy theory. Under fuzzy game environment, this paper firstly introduces the credibility measure of fuzzy variables, on the base of which the fuzzy expected value programming model is built to seek the payoffs of every player in the game coalition, and then a genetic algorithm is designed for solving the proposed fuzzy programming model. Finally, a numerical example with fuzzy numbers is provided to illustrate the result obtained from this paper.

关 键 词：合作博弈 模糊联盟 收益分配 可信性测度 模糊理论 

分 类 号：O159[理学—数学]