An equivalent condition to the Jensen inequality for the generalized Sugeno integral

DOI10.1186/S13660-017-1561-2zbMath1375.26038OpenAlexW2769514057WikidataQ47589361 ScholiaQ47589361MaRDI QIDQ1681800

Ali Ebadian, Mohsen Jaddi, Manuel de la Sen, Sadegh Abbaszadeh

Publication date: 24 November 2017

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

Full work available at URL: https://doi.org/10.1186/s13660-017-1561-2

zbMATH Keywords

convex functionJensen inequalitygeneralized Sugeno integral

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Inequalities for sums, series and integrals (26D15)

Related Items (4)

On a version of fuzzy Jensen inequality based on the measure of level-set ⋮ Jensen type inequalities and their applications via fractional integrals ⋮ Sharp bounds of Jensen type for the generalized Sugeno integral ⋮ New stability criteria for asymptotic stability of time-delay systems via integral inequalities and Jensen inequalities

Cites Work

• The Sugeno fuzzy integral of log-convex functions
• H-continuity of fuzzy measures and set defuzzification
• The fuzzy integral for monotone functions
• A concrete approach to classical analysis
• The fuzzy integral
• On the level-continuity of fuzzy integrals
• Triangular norms
• Generalization of the jensen inequality for pseudo-integral
• Jensen-type inequalities for Sugeno integral
• A Jensen type inequality for fuzzy integrals
• A Hadamard-type inequality for fuzzy integrals based on \(r\)-convex functions
• On the Jensen type inequality for generalized Sugeno integral
• Generalized Measure Theory
• Generalizations of Integral Inequalities for Integrals Based on Nonadditive Measures
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