A version of lebesgue decomposition theorem for non-additive measure

被引：0
|
作者：
Li, Jun [1 ]
Yasuda, Masami [2 ]
Li, Jianzeng [3 ]
机构：
[1] Commun Univ China, Sch Sci, Beijing 100024, Peoples R China
[2] Chiba Univ, Fac Sci, Chiba 2638522, Japan
[3] Commun Univ China, Sch Informat Engn, Beijing 100024, Peoples R China
来源：
MODELING DECISIONS FOR ARTIFICIAL INTELLIGENCE, PROCEEDINGS | 2007年 / 4617卷
关键词：
non-additive measure; null-additivity; absolute continuity; Lebesgue decomposition theorem;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, Lebesgue decomposition type theorems for non-additive measure are shown under the conditions of null-additivity, converse null-additivity, weak null-additivity and sigma-null-additivity, etc.. In our discussion, the monotone continuity of set function is not required.
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页码：168 / +
页数：2
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