On the equality of integrals

被引：23
作者：
Mesiara, Radko [1 ,2 ]
Jun Li [3 ]
Yao Ouyang [4 ]
机构：
[1] Slovak Univ Technol Bratislava, Fac Civil Engn, Radlinskeho 11, Bratislava 81005, Slovakia
[2] UTIA CAS, Voddrenskou Vezi 4, Prague 18208, Czech Republic
[3] Commun Univ China, Sch Sci, Beijing 100024, Peoples R China
[4] Huzhou Univ, Fac Sci, Huzhou 313000, Zhejiang, Peoples R China
来源：
INFORMATION SCIENCES | 2017年 / 393卷
基金：
中国国家自然科学基金;
关键词：
Monotone measure; Choquet integral; Pan-integral; Concave integral; Minimal atom; PSEUDO-ATOMS; DECOMPOSITION; CHOQUET; FUZZY;
D O I：
10.1016/j.ins.2017.02.015
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Considering a finite space X, several necessary conditions and one rather general sufficient condition describing when the Choquet integral coincides with the pan -integral with respect to the standard arithmetic operations are shown. These conditions are characterized by using the minimal atoms of monotone measure. Under the introduced constraints, the calculation of these coinciding two integrals is also given. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：82 / 90
页数：9
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