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.

引用

页码：168 / +

页数：2

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