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模糊测度的有限零可减性
引用本文:李军.模糊测度的有限零可减性[J].东南大学学报,2000,16(2):80-83.
作者姓名:李军
作者单位:东南大学应用数学系!南京210096
基金项目:TheprojectsupportedbytheStateEducationCommissionofChina .
摘    要: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 .

关 键 词:模糊测度  有限零可减  Egoroff定理

Finite Null-Subtractivity of Fuzzy Measure
Li Jun.Finite Null-Subtractivity of Fuzzy Measure[J].Journal of Southeast University(English Edition),2000,16(2):80-83.
Authors:Li Jun
Abstract: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.
Keywords:fuzzy measure  finite null  subtractivity  Egoroff's theorem
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