A Sufficient and Necessary Condition of Uncertain Measure

被引：0

作者：

Peng, Zixiong ^{[1
]}

Iwamura, Kakuzo ^{[2
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[2] Josai Univ, Dept Math, Sakado, Saitama 3500248, Japan

来源：

INFORMATION-AN INTERNATIONAL INTERDISCIPLINARY JOURNAL | 2012年 / 15卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Uncertainty theory; uncertain measure; uncertainty space; EXPECTED VALUE;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Uncertainty theory is a branch of mathematics for modeling human uncertainty based on the normality, duality, subadditivity, and product axioms. This paper gives a relation between set functions and uncertain measures, and proves a sufficient and necessary condition for uncertain measures. Finally, some examples are given.

引用

页码：1381 / 1391

页数：11

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