Chebyshev inequality for Sugeno integrals

DOI10.1016/j.fss.2009.12.006zbMath1188.28016OpenAlexW1987454932MaRDI QIDQ969575

Josefa Caballero, Kishin Sadarangani

Publication date: 7 May 2010

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2009.12.006

zbMATH Keywords

Sugeno integralChebyshev inequalitycomonotone functions

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (19)

The Sugeno fuzzy integral of log-convex functions ⋮ Hermite-Hadamard type inequality for Sugeno integrals ⋮ Generalization of the Lyapunov type inequality for pseudo-integrals ⋮ Unnamed Item ⋮ A Hadamard-type inequality for fuzzy integrals based on \(r\)-convex functions ⋮ General Barnes-Godunova-Levin type inequalities for Sugeno integral ⋮ Sandor's inequality for Sugeno integrals ⋮ A Markov-type inequality for seminormed fuzzy integrals ⋮ Generalization of the Stolarsky type inequality for pseudo-integrals ⋮ Barnes-Godunova-Levin type inequality of the sugeno integral for an \((\alpha,m)\)-concave function ⋮ Chebyshev's inequality for Choquet-like integral ⋮ Jensen-type inequalities for Sugeno integral ⋮ The Sugeno integral with respect to \(\alpha\)-preinvex functions ⋮ Sandor type inequalities for Sugeno integral with respect to general \((\alpha,m,r)\)-convex functions ⋮ Berwald-type inequalities for Sugeno integral with respect to \({({\alpha,m,r})_{g}}\)-concave functions ⋮ Study on Some Integral Inequalities for Pseudo-Integrals ⋮ Some integral inequalities for fuzzy-interval-valued functions ⋮ On Chebyshev type inequalities for generalized Sugeno integrals ⋮ Unnamed Item

Cites Work

• H-continuity of fuzzy measures and set defuzzification
• General Chebyshev type inequalities for Sugeno integrals
• On the Chebyshev type inequality for seminormed fuzzy integral
• The fuzzy integral for monotone functions
• Markov type inequalities for fuzzy integrals
• Sugeno integral of monotone functions based on Lebesgue measure
• On the comonotonic-*-property for Sugeno integral
• Pseudo-additive measures and integrals
• The fuzzy integral
• Fuzzy sets and systems. Theory and applications
• On the level-continuity of fuzzy integrals
• On the defect of additivity of fuzzy measures
• \(\perp\)-decomposable measures and integrals for Archimedean t-conorms \(\perp\)
• A Chebyshev type inequality for fuzzy integrals
• A convolution type inequality for fuzzy integrals
• SUGENO INTEGRAL AND THE COMONOTONE COMMUTING PROPERTY
• Unnamed Item
• Unnamed Item

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