LIPSCHITZ CONTINUITY OF DISCRETE UNIVERSAL INTEGRALS BASED ON COPULAS

DOI10.1142/S0218488510006374zbMath1190.28010OpenAlexW2008293184MaRDI QIDQ3564727

Andrea Stupňanová, Erich Peter Klement, Radko Mesiar, Anna Kolesárová

Publication date: 26 May 2010

Published in: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218488510006374

zbMATH Keywords

copulaChoquet integralSugeno integralLipschitz propertyuniversal integralChebyshev norm

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (7)

Inclusion-Exclusion Integral and Its Application to Subjective Video Quality Estimation ⋮ Unnamed Item ⋮ The key role of convexity in some copula constructions ⋮ Ultramodularity and copulas ⋮ Lipschitz continuity of copulas w.r.t. \(L_p\)-norms ⋮ Lipschitzian De Morgan triplets of fuzzy connectives ⋮ Theory of inclusion-exclusion integral

Cites Work

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• An introduction to copulas.
• On the simultaneous associativity of F(x,y) and x+y-F(x,y)
• On \(\tau_T\) semigroups of probability distribution functions II
• Triangular norm-based iterative compensatory operators
• Measure-based aggregation operators.
• Theory of capacities
• On a Subjective Evaluation Model by a Generalized Fuzzy Integral
• Gluing Copulas

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