摘要
本文在Sugeno的模糊测度空间上,首先提出了弱收敛和度量的概念,其次,给出了模糊测度序列弱收敛的一个等价条件,最后,在这种度量的意义下,我们得到模糊测度空间构成一个可分的度量空间。
In this paper, on the Sugeno's fuzzy measures, we first put forward the concepts of the weak concergence and the metric of fuzzy measures. And then, an apuivalent condition on the weak convergence of sequences of fuzzy measures are given. Finally, in the sense of ths metric, we obtain that the family of fuzzy measures constitute a separable metric space.
出处
《通化师范学院学报》
1998年第6期1-9,25,共10页
Journal of Tonghua Normal University
关键词
模糊测度
模糊积分
弱收敛
度量
稠密
<Keyword>Fuzzy measure, Fuzzy integral, weak convergence, metric, density
