Hölder-Minkowski type inequality for generalized Sugeno integral

DOI10.1016/j.fss.2020.01.005zbMath1464.28013OpenAlexW3001325522WikidataQ126315678 ScholiaQ126315678MaRDI QIDQ2035262

Anton Hovana, Ondrej Hutník, Marek Kaluszka, Michal Boczek

Publication date: 24 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.fss.2020.01.005

zbMATH Keywords

Hölder inequalitynon-additive measures\(q\)-integralMinkowski inequalityseminormed fuzzy integralsemicopulasubdistributivitygeneralized Sugeno integral

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Fuzzy measure theory (28E10) Fuzzy real analysis (26E50)

Related Items (2)

On Prékopa-Leindler type inequality for Sugeno integral ⋮ Novel survival functions based on conditional aggregation operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Predictive tools in data mining and \(k\)-means clustering: universal inequalities
• Distributivity inequalities of monotonic operations
• A general inequality of Chebyshev type for semi(co)normed fuzzy integrals
• The Pexider type generalization of the Minkowski inequality
• On some advanced type inequalities for Sugeno integral and T-(S-)evaluators
• General Chebyshev type inequalities for universal integral
• On Cauchy-Schwarz's inequality for Choquet-like integrals without the comonotonicity condition
• On two distributivity equations for fuzzy implications and continuous, Archimedean t-norms and t-conorms
• A Cauchy-Schwarz type inequality for fuzzy integrals
• Generalized qualitative Sugeno integrals
• On the Chebyshev type inequality for seminormed fuzzy integral
• Converse theorem for the Minkowski inequality
• New general extensions of Chebyshev type inequalities for Sugeno integrals
• Hölder type inequality for Sugeno integral
• Two families of fuzzy integrals
• On a generalization of Mulholland's inequality
• Triangular norms
• The smallest semicopula-based universal integrals. I: Properties and characterizations
• The smallest semicopula-based universal integrals. II: Convergence theorems
• On conditions under which some generalized Sugeno integrals coincide: a solution to Dubois' problem
• The distributivity equation for uninorms revisited
• Hölder type inequalities for Sugeno integrals under usual multiplication operations
• On non-additive probabilistic inequalities of Hölder-type
• Dominance on strict triangular norms and Mulholland inequality
• A generalization of the Chebyshev type inequalities for Sugeno integrals
• Sharp bounds of Jensen type for the generalized Sugeno integral
• The smallest semicopula-based universal integrals. III: Topology determined by the integral
• Subdistributivity and superdistributivity of binary operations
• General Minkowski type inequalities for Sugeno integrals
• General form of Chebyshev type inequality for generalized Sugeno integral
• On Chebyshev type inequalities for generalized Sugeno integrals
• Distributivity equations in the class of semi-t-operators
• On the Minkowski-Hölder type inequalities for generalized Sugeno integrals with an application
• ON AN EXTENDED CHEBYSHEV TYPE INEQUALITY FOR SEMI(CO)NORMED FUZZY INTEGRALS
• On a Subjective Evaluation Model by a Generalized Fuzzy Integral
• The converse of the Hölder inequality and its generalizations
• On $\star$-associated comonotone functions
• On Generalizations of Minkowski's Inequality in the Form of a Triangle Inequality

This page was built for publication: Hölder-Minkowski type inequality for generalized Sugeno integral