Jensen's inequality for Choquet integral revisited and a note on Jensen's inequality for generalized Choquet integral

被引：14

作者：

Zhang, Deli ^{[1
]}

Mesiar, Radko ^{[2
,3
]}

Pap, Endre ^{[4
]}

机构：

[1] Changchun Normal Univ, Coll Math, Changchun 130032, Jilin, Peoples R China

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

[3] Palacky Univ, 17 Listopadu 12, Olomouc 77146, Czech Republic

[4] Singidunum Univ, Danijelova 29, Belgrade 11000, Serbia

来源：

FUZZY SETS AND SYSTEMS | 2022年 / 430卷

关键词：

Jensen's inequality; Choquet integral; Generalized Choquet integral; Fuzzy measure;

D O I：

10.1016/j.fss.2021.09.004

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, it is shown that Jensen's inequality for Choquet integral given by R. Wang ten years ago is incorrect, then it is revisited, the modified Jensen's and reverse Jensen's inequalities for Choquet integral are proved. Then Jensen's inequality for generalized Choquet integral, obtained by the authors in a recent paper, is modified accordingly. (c) 2021 Elsevier B.V. All rights reserved.

引用

页码：79 / 87

页数：9

共 12 条

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[7] Three types of generalized Choquet integral
Pap, Endre
[J]. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2020, 13 (04): : 545 - 553
[8] Some inequalities and convergence theorems for Choquet integrals
Wang R.-S.
[J]. Journal of Applied Mathematics and Computing, 2011, 35 (1-2) : 305 - 321
[9] Wang Z., 2009, IFSR INT SER SYST SC
[10] Zhang D, 2021, IRAN J FUZZY SYST, V18, P99

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