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

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.