Pseudo-atoms of fuzzy and non-fuzzy measures

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• 作者：Wu Congxin ; Sun Bo
• 关键词：Fuzzy measure ; Pseudo-atom ; Atom ; Exhaustive ; Order continuous
• 刊名：Fuzzy Sets and Systems
• 出版年：2007
• 期刊代码：55_01650114
• 类别：cp
• 出版时间：1 June 2007
• 卷：158
• 期：11
• 页码：1258-1272
• 文件大小：233 K

摘要

In this paper, we introduce the concept of pseudo-atoms of set functions, and establish some fundamental conclusions about pseudo-atoms on the assumption of null–null-additivity. We give the necessary and sufficient conditions which insure that the set of non-null-measure contains no pseudo-atoms. Further, we obtain several decomposition theorems about pseudo-atoms and atoms of set functions.