摘要
本文在σ—代数上引入了Fuzzy数值Fuzzy测度以及Fuzzy数值Fuzzy测度的自连续性和伪自连续性等概念,并讨论了它们的一些性质,在Fuzzy数值Fuzzy测度空间上给出了‘几乎’和‘伪几乎’的概念,并证明了Fuzzy可测函数序列为Riesz定理、Lebeague定理和Egoroff定理。
In this paper,Fuzzy number-valued fuzzy measure on the o-algebra and the autoeontinuity of fuzzy number-valued fuzzy measure are introduced and their some properties are discussed, and Riesz's theorem, Lebesgue's theorem and Egoroffs theorem of fuzzy measurable function are given.
出处
《河北大学学报（自然科学版）》
CAS
1991年第4期1-10,共10页
Journal of Hebei University(Natural Science Edition)
基金
国家自然科学基金重大项目成果
关键词
FUZZY数
FUZZY测度
自连续性
Fuzzy number,Fuzzy measure,The autocontinuity of fuzzy measure.
