Superdecomposition integrals

被引：49

作者：

Mesiar, Radko ^{[1
,2
]}

Li, Jun ^{[3
]}

Pap, Endre ^{[4
,5
]}

机构：

[1] Slovak Univ Technol Bratislava, Fac Civil Engn, Bratislava 81368, Slovakia

[2] UTIA CAS, Prague 18208, Czech Republic

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

[4] Singidunum Univ, Belgrade, Serbia

[5] Obuda Univ, H-1034 Budapest, Hungary

来源：

FUZZY SETS AND SYSTEMS | 2015年 / 259卷

基金：

中国国家自然科学基金;

关键词：

Choquet integral; Convex integral; Decomposition integral; Monotone measure; Superdecomposition integral; CONCAVE INTEGRALS; CHOQUET;

D O I：

10.1016/j.fss.2014.05.003

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This study introduces and discusses a new class of integrals based on superdecompositions of integrated functions, including an analysis of their relationship with decomposition integrals, which were introduced recently by Even and Lehrer. The proposed superdecomposition integrals have several properties that are similar or dual with respect to decomposition integrals, but they also have some significant differences. The convex integral is obtained by considering all possible superdecompositions with no constraints on the applied sets, which can be treated as the greatest convex homogeneous functional that is bounded from above by the measure we consider. The relationship with the universal integral of Klement et al. is also discussed. Finally, some possible generalizations are outlined. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：3 / 11

页数：9

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