摘要
在一般模糊测度空间上,针对可测模糊值函数序列给出了几乎处处收敛,几乎一致收敛和伪几乎一致收敛的概念,并在此基础上,进一步研究了这几种收敛的蕴涵关系,从而获得了模糊化的Egoroff定理,使模糊值函数序列的理论得到进一步丰富.
On the general fuzzy measure sapce,for the sequence of measurable fuzzy valued function,the concepts of the almost everywhere convengence,almost uniformly convengence and pseudo-uniformly convengence are introduced.Consequently,the relationship among three kinds of convergence of them are studied and the fuzzy form Egoroff theorem is obtained.
出处
《大学数学》
2010年第6期85-88,共4页
College Mathematics
关键词
模糊测度
几乎处处收敛
几乎一致收敛
伪几乎一致收敛
fuzzy measure
almost everywhere convengence
almost uniformly convengence
pseudo-uniformly convengence
