就模糊合作对策中模糊联盟间相互影响问题,提出了模糊联盟间边缘相互影响总量的概念,给出了度量指标。当模糊合作对策v具有单调性、交错性和独立性时,研究了度量指标的一些性质,为了更好地反映模糊联盟间相互影响的总量,进一步给出了模糊联盟间边缘相互影响总量的均值和方差。最后,通过算例说明各度量指标的结果。
In the paper, we discuss the measure of interaction among fuzzy coalitions in fuzzy cooperative games ad propose an index for such measure. The properties of the measure index are discussed when fuzzy cooperative games v satisfy monotone, alternating and independence conditions. Moreover, the average and variance of the amount of interaction among fuzzy coalitions are presented. Finally, a numerical example is given to demonstrate the application of the measure index.