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。

关键词: 多目标, 随机合作博弈, 模糊稳定集

Abstract: 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.

Key words: multi-objective, stochastic cooperative games, fuzzy stable set

中图分类号: 

• TP311