Fuzzy数值Fuzzy测度与Fuzzy数值Fuzzy测度空间上的几个定理  

Fuzzy Number-Valued Fuzzy Measure and Some Theorems on the Fuzzy Number-valued Fuzzy Measure Space

作　　者：张广全[1] 

机构地区：[1]河北大学数学系

出　　处：《河北大学学报（自然科学版）》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

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.

关 键 词：FUZZY数 FUZZY测度 自连续性 

分 类 号：O159[理学—数学]