Characterization of decomposition integrals extending Lebesgue integral

被引：5

作者：

Li, Jun ^{[1
]}

Mesiar, Radko ^{[2
,3
]}

Ouyang, Yao ^{[4
]}

Seliga, Adam ^{[2
]}

机构：

[1] Commun Univ China, Sch Data Sci & Media Intelligence, Beijing 100024, Peoples R China

[2] Slovak Univ Technol Bratislava, Fac Civil Engn, Radlinskeho 11, Bratislava 81005, Slovakia

[3] Univ Ostrava, Inst Res & Applicat Fuzzy Modelling, 30 Dubna 22, Ostrava 70103, Czech Republic

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

来源：

FUZZY SETS AND SYSTEMS | 2022年 / 430卷

基金：

中国国家自然科学基金;

关键词：

Decomposition integral; Lebesgue integral; Extension;

D O I：

10.1016/j.fss.2021.04.015

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Decomposition integrals provide a framework for non-linear integrals that include Choquet, Shilkret, the PAN, and the concave integrals. All of these integrals found their applications in mathematics, notably in decision-making and economy. An important class of decomposition integrals is the class of integrals extending Lebesgue integral in the sense that the decomposition integral with respect to classical measures coincides with Lebesgue integral. In this paper, we consider finite spaces X only and discuss some necessary and sufficient conditions for this property. Also, some construction methods are given and exemplified. (c) 2021 Elsevier B.V. All rights reserved.

引用

页码：56 / 68

页数：13

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