Absolute Continuity of Fuzzy Measures and Convergence of Sequence of Measurable Functions

被引：1
作者：
Li, Jun [1 ,2 ]
机构：
[1] Commun Univ China, Sch Sci, Beijing 100024, Peoples R China
[2] Commun Univ China, Sch Data Sci & Media Intelligence, Beijing 100024, Peoples R China
来源：
MATHEMATICS | 2020年 / 8卷 / 05期
基金：
中国国家自然科学基金;
关键词：
fuzzy measure; absolute continuity; convergence in measure; fuzzy integral;
D O I：
10.3390/math8050726
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, the convergence of the sum of two convergent sequences of measurable functions is studied by means of two types of absolute continuity of fuzzy measures, i.e., strong absolute continuity of Type I, and Type VI. The discussions of convergence a.e. and convergence in measure are done in the general framework relating to a pair of monotone measures, and general results are shown. The previous related results are generalized.
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页数：7
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