On some advanced type inequalities for Sugeno integral and T-(S-)evaluators

DOI10.1016/J.INS.2011.10.021zbMath1250.28012OpenAlexW2043185427MaRDI QIDQ454880

Radko Mesiar, Yao Ouyang, Hamzeh Agahi

Publication date: 10 October 2012

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2011.10.021

zbMATH Keywords

Sugeno integralHölder's inequalityChebyshev's inequalityMinkowski's inequalitynonadditive measurecomonotone functions

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (12)

On Stolarsky inequality for Sugeno and Choquet integrals ⋮ On the Jensen type inequality for generalized Sugeno integral ⋮ Steffensen type inequalities for fuzzy integrals ⋮ On Carlson's inequality for Sugeno and Choquet integrals ⋮ Improvements of generalized Hölder's inequalities and their applications ⋮ Generalizations of the Chebyshev-type inequality for Choquet-like expectation ⋮ Extensions of Hölder's inequality via pseudo-integral ⋮ Chebyshev type inequalities for general fuzzy integrals ⋮ Sharp bounds of Jensen type for the generalized Sugeno integral ⋮ Integrals based on monotone set functions ⋮ Hölder-Minkowski type inequality for generalized Sugeno integral ⋮ On Chebyshev type inequalities for generalized Sugeno integrals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Berwald type inequality for Sugeno integral
• 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
• Extensions of certain integral inequalities on time scales
• An inequality related to Minkowski type for Sugeno integrals
• New general extensions of Chebyshev type inequalities for Sugeno integrals
• Sugeno integral of monotone functions based on Lebesgue measure
• On the comonotonic-*-property for Sugeno integral
• T-evaluators and S-evaluators
• The fuzzy integral
• Measure-based aggregation operators.
• Triangular norms as ordinal sums of semigroups in the sense of A. H. Clifford
• General Minkowski type inequalities for Sugeno integrals
• Fuzzy integrals and linearity
• Fuzzy Chebyshev type inequality
• A Jensen type inequality for fuzzy integrals
• A Chebyshev type inequality for fuzzy integrals
• THE USE OF THE DISCRETE SUGENO INTEGRAL IN DECISION-MAKING: A SURVERY
• SUGENO INTEGRAL AND GEOMETRIC INEQUALITIES
• SUGENO INTEGRAL AND THE COMONOTONE COMMUTING PROPERTY

This page was built for publication: On some advanced type inequalities for Sugeno integral and T-(S-)evaluators