The Choquet integral of log-convex functions

DOI10.1186/S13660-018-1803-YzbMath1498.28028OpenAlexW2886919280WikidataQ58782091 ScholiaQ58782091MaRDI QIDQ824731

Hong-Xia Wang

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1803-y

zbMATH Keywords

inequalityChoquet integrallog-convex function

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Fuzzy measure theory (28E10)

Related Items (1)

Choquet integrals of \(r\)-convex functions

Cites Work

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• Axiomatic characterization of insurance prices
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• A note on derivatives of functions with respect to fuzzy measures
• Log-concave probability and its applications
• Minimax pricing and Choquet pricing
• Minimax tests and the Neyman-Pearson lemma for capacities
• Theory of capacities
• Pseudo-concave Integrals
• A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid

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