On Cauchy-Schwarz's inequality for Choquet-like integrals without the comonotonicity condition

DOI10.1007/s00500-014-1578-0zbMath1360.28014OpenAlexW2037106898MaRDI QIDQ521684

Radko Mesiar, Hamzeh Agahi

Publication date: 11 April 2017

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-014-1578-0

zbMATH Keywords

Sugeno integralHölder's inequalityCauchy-Schwarz's inequalityChoquet expectationChoquet-like integralsmonotone probabilitypseudo-analysis

Mathematics Subject Classification ID

Fuzzy measure theory (28E10) Fuzzy real analysis (26E50)

Related Items (4)

Inequalities of Lyapunov and Stolarsky type for Choquet-like integrals with respect to nonmonotonic fuzzy measures ⋮ The smallest semicopula-based universal integrals. III: Topology determined by the integral ⋮ Hölder-Minkowski type inequality for generalized Sugeno integral ⋮ A \((\star, \ast)\)-based Minkowski's inequality for Sugeno fractional integral of order \(\alpha > 0\)

Cites Work

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• Two integrals and some modified versions - critical remarks
• Pseudo-additive measures and integrals
• Triangular norms
• Choquet-like integrals
• Generalizations of the Chebyshev-type inequality for Choquet-like expectation
• Theory of capacities
• Stolarsky’s inequality for Choquet-like expectation
• Generalized Measure Theory

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