摘要
本文研究文〔3〕中提出的模糊测度.首先引入了正则模糊可测空间的概念,并讨论了模糊可测空间的正则扩张及其表示问题;最后证明了模糊测度空间的正则扩张及表示定理.
In this paper, we will consider the fuzzy measures in the sense of〔3〕.We will propose the concept of regular fuzzy measurable space and discuss the problems of regular extension and representation of fuzzy measurable spaces.The regular extension and representation theorems of fuzzy measure spaces will be proved.
出处
《河北师范大学学报(自然科学版)》
CAS
1991年第3期7-12,共6页
Journal of Hebei Normal University:Natural Science
关键词
模糊测度空莘
正则扩张
表示定理
σ-additive F-class, F-measure, regular F-measurable space Kernel space, Daniell theorem.