Autocontinuity and convergence theorems for the Choquet integral

被引：10
|
作者：
Rebille, Yann [1 ]
机构：
[1] Inst Econ & Management Nantes IAE, LEMNA, F-44322 Nantes 3, France
来源：
FUZZY SETS AND SYSTEMS | 2012年 / 194卷
关键词：
Non-additive measure; Choquet integral; Null-additivity; Autocontinuity; EGOROFFS THEOREM; NULL-ADDITIVITY; FUZZY MEASURES; SET FUNCTION; RESPECT;
D O I：
10.1016/j.fss.2011.09.006
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We provide convergence theorems for the Choquet integral for various notions of convergence. Monotone almost uniform convergence from above/below is associated to monotone autocontinuity from above/below. The dominated almost uniform convergence is associated to monotone autocontinuity. Autocontinuity can be associated to the dominated convergence in measure, in mean or in strict-measure. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：52 / 65
页数：14
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