Chebyshev type inequality for Choquet integral and comonotonicity

DOI10.1016/J.IJAR.2011.06.001zbMath1229.28028OpenAlexW2051329682MaRDI QIDQ648373

Bruno Girotto, Silvano Holzer

Publication date: 22 November 2011

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijar.2011.06.001

zbMATH Keywords

Choquet integralcomonotonicitymonotone set functionChebyshev inequalityadditive measure

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (13)

Generalization of the Lyapunov type inequality for pseudo-integrals ⋮ On Carlson's inequality for Sugeno and Choquet integrals ⋮ An elementary proof of the covariance inequality for Choquet integral ⋮ On the space of measurable functions and its topology determined by the Choquet integral ⋮ Generalizations of the Chebyshev-type inequality for Choquet-like expectation ⋮ Inequalities of Lyapunov and Stolarsky type for Choquet-like integrals with respect to nonmonotonic fuzzy measures ⋮ Milne type inequality and interval orders ⋮ Chebyshev inequality for q-integrals ⋮ Integrals based on monotone set functions ⋮ Several inequalities for the pan-integral ⋮ Probability inequalities for decomposition integrals ⋮ The Sugeno integral with respect to \(\alpha\)-preinvex functions ⋮ Collection integral vs. Choquet integral

Cites Work

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• A Chebyshev type inequality for Sugeno integral and comonotonicity
• General Chebyshev type inequalities for Sugeno integrals
• New general extensions of Chebyshev type inequalities for Sugeno integrals
• Chebyshev inequalities and comonotonicity
• Non-additive measure and integral
• Some inequalities and convergence theorems for Choquet integrals

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