关键词: Markov随机过程, 动态合作博弈, 区间模糊稳定集

Abstract: This paper researches the interval-valued fuzzy stable set of cooperative games based on TU dynamic alliance with relevant theory of fuzzy mathematics.At first，the structure transfer processes of dynamic cooperative alliance is described by using Markov stochastic processes.And then，the cut sets interval value is constructed based on different confidence α with the fuzzy characteristic of trigonometric payoff functions.Consequently at different moments，the interval-valued fuzzy stable set can be calculated with the help of transition matrix of dynamic alliance.Considered 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.Eventually，a practical example is provided to illustrate the validity and feasibility of this method.

Key words: Markov stochastic processes, dynamic cooperative games, interval-valued fuzzy stable set