Steffensen type inequalities for fuzzy integrals

DOI10.1016/j.amc.2015.03.102zbMath1410.28011OpenAlexW2058932820MaRDI QIDQ1643288

Marek Kaluszka, Michal Boczek

Publication date: 19 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.03.102

zbMATH Keywords

fuzzy measureSugeno integralSteffensen's inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Fuzzy measure theory (28E10) Fuzzy real analysis (26E50)

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Cites Work

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• On some advanced type inequalities for Sugeno integral and T-(S-)evaluators
• Berwald type inequality for Sugeno integral
• H-continuity of fuzzy measures and set defuzzification
• General Chebyshev type inequalities for Sugeno integrals
• Some improvements and generalizations of Steffensen's integral inequality
• Markov type inequalities for fuzzy integrals
• The fuzzy integral
• On the level-continuity of fuzzy integrals
• An application of Hayashi's inequality for differentiable functions
• A Jensen type inequality for fuzzy integrals
• A Hardy-type inequality for fuzzy integrals
• A Chebyshev type inequality for fuzzy integrals
• A convolution type inequality for fuzzy integrals
• Evaluating expectations of \(L\)-statistics by the Steffensen inequality
• Steffensen’s inequality and 𝐿¹-𝐿^{∞} estimates of weighted integrals
• Steffensen's Integral Inequality for the Sugeno Integral