The concave integral over large spaces

被引：56

作者：

Lehrer, Ehud ^{[1
]}

Teper, Roee ^{[1
]}

机构：

[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel

来源：

FUZZY SETS AND SYSTEMS | 2008年 / 159卷 / 16期

关键词：

capacity; concave integral; extendability; large core; convergence theorems;

D O I：

10.1016/j.fss.2007.11.018

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper investigates the concave integral for capacities defined over large spaces. We characterize when the integral with respect to capacity v can be represented as the infimum over all integrals with respect to additive measures that are greater than or equal to v. We introduce the notion of loose extendability and study its relation to the concave integral. A non-additive version for the Levi theorem and the Fatou lemma are proven. Finally, we provide several convergence theorems for capacities with large cores. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：2130 / 2144

页数：15

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