基于多目标的随机合作博弈的模糊稳定集  

Fuzzy Stable Set of Stochastic Cooperative Games Based on Multi-objective

作　　者：刘天虎[1] 许维胜[2] 吴启迪[2] 

机构地区：[1]同济大学经济与管理学院,上海200092 [2]同济大学电子与信息工程学院,上海200092

出　　处：《计算机工程》2009年第20期1-3,共3页Computer Engineering

基　　金：国家"973"计划基金资助项目(2002CB312200)

摘　　要：利用模糊数学相关理论,针对n人随机合作博弈的多重目标的情形,对其模糊特性进行分析,构造多重目标的随机合作博弈模型,进而得到随机合作博弈的区间模糊稳定集。考虑到盟友在合作结束后需要对具体的联盟收益进行分配,应用构造的区间模糊稳定集给出确定的收益分配势值区间。使用实例对该方法的有效性和可行性进行说明。This paper analyzes the fuzzy characteristic of multi-objective n person stochastic cooperative games on the basis of relevant theory of fuzzy mathematics,constructs the model of multi-objective stochastic cooperative games and gets its interval-valued fuzzy stable set of stochastic cooperative games.Considering that the concrete benefit distribution can be realized at the end of cooperation,an interval potential value of payoff based on constructed interval-valued fuzzy stable set is proposed.And a practical example is provided to illustrate the validity and feasibility of this method.

关 键 词：多目标 随机合作博弈 模糊稳定集 

分 类 号：TP311[自动化与计算机技术—计算机软件与理论]