A sufficient condition of equivalence of the Choquet and the pan-integral

被引：15

作者：

Ouyang, Yao ^{[1
]}

Li, Jun ^{[2
]}

Mesiar, Radko ^{[3
,4
]}

机构：

[1] Huzhou Univ, Fac Sci, Huzhou 313000, Zhejiang, Peoples R China

[2] Commun Univ China, Sch Sci, Beijing 100024, Peoples R China

[3] Slovak Univ Technol Bratislava, Fac Civil Engn, Radlinskeho 11, Bratislava 81105, Slovakia

[4] UTIA CAS, Vodarenskou Vezi 4, Prague 18208, Czech Republic

来源：

FUZZY SETS AND SYSTEMS | 2019年 / 355卷

基金：

中国国家自然科学基金;

关键词：

Monotone measure; Choquet integral; Pan-integral; (M)-property; CONCAVE INTEGRALS;

D O I：

10.1016/j.fss.2018.03.016

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this note, we continue to investigate the relationship between the Choquet integral and the pan-integral on infinite space. We will show that the (M)-property of monotone measures is a sufficient condition that the Choquet integral coincides with the pan-integral. In this discussion, the spaces are not restricted to be finite, thus the previous results obtained in finite space are further generalized and developed. A characteristic of the (M)-property of monotone measures is also presented. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：100 / 105

页数：6

共 14 条

[1]

[Anonymous], 2009, GEN MEASURE THEORY

[2]

Choquet G., 1954, ANN I FOURIER, V5, P131, DOI DOI 10.5802/AIF.53

[3]

Denneberg D., 1994, NONADDITIVE MEASURE

[4] Decomposition-integral: unifying Choquet and the concave integrals [J].