A Liapunov type inequality for Sugeno integrals

DOI10.1016/j.na.2011.07.046zbMath1228.26039OpenAlexW2025412821MaRDI QIDQ642591

Dug Hun Hong

Publication date: 27 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.07.046

zbMATH Keywords

fuzzy measureSugeno integralLyapunov-type inequality

Mathematics Subject Classification ID

Fuzzy measure theory (28E10) Fuzzy real analysis (26E50)

Related Items (8)

Generalization of the Lyapunov type inequality for pseudo-integrals ⋮ On the Jensen type inequality for generalized Sugeno integral ⋮ On a version of fuzzy Jensen inequality based on the measure of level-set ⋮ Jensen and Chebyshev inequalities for pseudo-integrals of set-valued functions ⋮ Hölder type inequalities for Sugeno integrals under usual multiplication operations ⋮ Inequalities of Lyapunov and Stolarsky type for Choquet-like integrals with respect to nonmonotonic fuzzy measures ⋮ Inequalities of Hölder and Minkowski type for pseudo-integrals with respect to interval-valued \(\oplus\)-measures ⋮ Jensen's inequalities for set-valued and fuzzy set-valued functions

Cites Work

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• A sharp Hardy-type inequality of Sugeno integrals
• A Cauchy-Schwarz type inequality for fuzzy integrals
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• Fritz Carlson's inequality for fuzzy integrals
• Sugeno integral of monotone functions based on Lebesgue measure
• Hermite-Hadamard inequality for fuzzy integrals
• The fuzzy integral
• Fuzzy Chebyshev type inequality
• 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
• A note on fuzzy integral inequality of Stolarsky type

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