摘要
The concept of finite null subtractivity of fuzzy measure is introduced. The relations among the several kinds of convergences for sequence of measurable function are discussed by using the new structural characteristic of fuzzy measure. Egoroff's theorem is further generalized on fuzzy measure space.
引入了模糊测度的有限零可减性的概念 ,利用这一结构特性讨论了可测函数序列的几乎处处收敛、几乎一致收敛和伪性几乎一致收敛之间的关系 .模糊测度空间上的Egoroff定理得到进一步推广 .
基金
TheprojectsupportedbytheStateEducationCommissionofChina .
