Refinements of Jensen's inequalities for Choquet integrals and applications

DOI10.1016/J.FSS.2022.06.007zbMATH Open1543.26003MaRDI QIDQ6588895

Hongxia Wang

Publication date: 19 August 2024

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

zbMATH Keywords

Choquet integralJensen inequalityJensen inequality in 2 dimensions

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Fuzzy measure theory (28E10)

Cites Work

• Title not available (Why is that?)
• On Cauchy-Schwarz's inequality for Choquet-like integrals without the comonotonicity condition
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• Choquet integrals of \(r\)-convex functions
• An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure
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• Conditioning (updating) non-additive measures
• Axiomatic characterization of insurance prices
• Note on Rosseland's integral for the stellar absorption coefficent.
• A refined Hölder's inequality for Choquet expectation by Cauchy-Schwarz's inequality
• Some inequalities and convergence theorems for Choquet integrals
• A note on derivatives of functions with respect to fuzzy measures
• Theory of capacities
• A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid
• Jensen's inequality for Choquet integral revisited and a note on Jensen's inequality for generalized Choquet integral

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