关键词: 区间值合作对策, 区间Shapley值, 接受指标, 区间数, 风险偏好, 满意度

Abstract: The study of interval Shapley value is usually based on superadditive interval-valued cooperation games or convex interval-valued cooperative games, limiting the scope of the application of the interval Shapley value. Based on acceptability index——the fuzzy preference ordering for interval and the intensities of risk preferences for players, we discuss the concept of the players with degrees of satisfaction. In this paper, we find that the degree of satisfaction plays a key role of analyzing the interval-valued cooperative games. By calculating the degrees of satisfaction with the allocation for interval-valued cooperative games, we find it obvious to determine whether the allocation, including the interval Shapley value, is reasonable. And we can judge whether the coalitions of players who coordinate their actions is stable by using the degrees of satisfaction. The basis of this method is an extension of the application of the interval Shapley value. Furthermore, we get some useful properties when the interval-valued cooperative game is at particular situations.

Key words: interval-valued cooperative games, interval shapley value, acceptability index, interval number, risk preferences, degrees of satisfaction