Chebyshev's inequality for Choquet-like integral

DOI10.1016/j.amc.2011.03.099zbMath1218.26027OpenAlexW2007244968MaRDI QIDQ547947

Jiuliang Shi, Yao Ouyang, Chang-Tao Sheng

Publication date: 27 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.099

zbMATH Keywords

Chebyshev's inequalitynonadditive measureChoquet-like integralpseudo-additive integral

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Non-Archimedean analysis (26E30)

Related Items (6)

Approximation by Choquet integral operators ⋮ On a strong law of large numbers for monotone measures ⋮ Generalizations of the Chebyshev-type inequality for Choquet-like expectation ⋮ A Markov-type inequality for seminormed fuzzy integrals ⋮ Inequalities of Lyapunov and Stolarsky type for Choquet-like integrals with respect to nonmonotonic fuzzy measures ⋮ On Cauchy-Schwarz's inequality for Choquet-like integrals without the comonotonicity condition

Cites Work

• On the structure of semi-groups on a compact manifold with boundary
• General Chebyshev type inequalities for Sugeno integrals
• Chebyshev inequality for Sugeno integrals
• Markov type inequalities for fuzzy integrals
• Pseudo-additive measures and integrals
• The fuzzy integral
• Non-additive measure and integral
• Choquet-like integrals
• Generalization of the jensen inequality for pseudo-integral
• General Minkowski type inequalities for Sugeno integrals
• A Chebyshev type inequality for fuzzy integrals
• Theory of capacities
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