Journal
FUZZY SETS AND SYSTEMS
Volume 430, Issue -, Pages 79-87Publisher
ELSEVIER
DOI: 10.1016/j.fss.2021.09.004
Keywords
Jensen's inequality; Choquet integral; Generalized Choquet integral; Fuzzy measure
Funding
- National Natural Science Fund of China [11271062]
- Natural Science Fund of Jilin Province [20190201014JC, APVV-18-0052]
- Science Fund of the Republic of Serbia [652410]
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This paper shows that the Jensen's inequality for Choquet integral given by R. Wang ten years ago is incorrect, and introduces modified Jensen's and reverse Jensen's inequalities for Choquet integral. Furthermore, the Jensen's inequality for generalized Choquet integral, recently obtained by the authors, is also modified accordingly.
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.
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