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Fuzzy Sets and SystemsVolume 457, 15 April 2023, Pages 119-124

Jensen's inequalities for standard and generalized asymmetric Choquet integrals(Article)

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  • aCollege of Mathematics, Changchun Normal University, Jilin, Changchun, 130032, China
  • bFaculty of Civil Engineering, Slovak University of Technology, Radlinského 11, Bratislava, 81005, Slovakia
  • cPalacky University, Olomouc, 17. listopadu 12, Olomouc, 77146, Czech Republic
  • dSingidunum University, Danijelova 29, Belgrade, 11000, Serbia

Abstract

In a recent paper by the authors, Jensen's inequality for Choquet integral was given, and a wrong assertion—“Jensen's inequality does not hold for asymmetric Choquet integral” was made. This paper can be viewed as a continuation of the previous one, Jensen's inequality for asymmetric Choquet integral is proved, the error is corrected. As its generalization, Jensen's inequality for generalized asymmetric Choquet integral is obtained. © 2022 Elsevier B.V.

Author keywords

Asymmetric Choquet integralChoquet integralGeneralized asymmetric Choquet integralJensen's inequality

Indexed keywords

Engineering controlled terms:Fuzzy setsIntegral equations
Engineering uncontrolled termsAsymmetric choquet integralChoquet integralGeneralisationGeneralized asymmetric choquet integralJensen's inequality
Engineering main heading:Artificial intelligence

Funding details

Funding sponsor Funding number Acronym
Natural Science Foundation of Jilin Province20190201014JC,APVV-18-0052
Science Fund of the Republic of Serbia652410

  • 1

    The work was supported by the Natural Science Fund of Jilin Province (No. 20190201014JC ) (for the first author), by grants APVV-18-0052 (for the second author), and by Science Fund of the Republic of Serbia , #Grant No. 652410 , AI-ATLAS (for the third author).

  • ISSN: 01650114
  • CODEN: FSSYD
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1016/j.fss.2022.06.013
  • Document Type: Article
  • Publisher: Elsevier B.V.

  Zhang, D.; College of Mathematics, Changchun Normal University, Jilin, Changchun, China;
© Copyright 2023 Elsevier B.V., All rights reserved.

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