Aggregation-based extensions of fuzzy measures

DOI10.1016/j.fss.2011.11.003zbMath1253.28013OpenAlexW2085300447MaRDI QIDQ1759619

Andrea Stupňanová, Juliana Beganová, Anna Kolesárová

Publication date: 21 November 2012

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

Full work available at URL: https://doi.org/10.1016/j.fss.2011.11.003

zbMATH Keywords

copulaChoquet integralutility functionfuzzy measureaggregation functionquasi-copula\(n\)-monotone function

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (21)

Multi-attribute target-based utilities and extensions of fuzzy measures ⋮ Preservation of stochastic orders under the formation of generalized distorted distributions. Applications to coherent systems ⋮ The unwalked path between quasi-copulas and copulas: stepping stones in higher dimensions ⋮ Aggregation of sequence of fuzzy measures ⋮ On pseudo-metric spaces induced by \(\sigma\)-\(\perp\)-decomposable measures ⋮ \(k\)-additive aggregation functions and their characterization ⋮ Aggregation with dependencies: capacities and fuzzy integrals ⋮ Möbius product-based constructions of aggregation functions ⋮ Unnamed Item ⋮ Extension of a class of decomposable measures via generalized pseudo-metrics ⋮ Choquet-Sugeno-like operator based on relation and conditional aggregation operators ⋮ On the probabilistic Hausdorff distance and a class of probabilistic decomposable measures ⋮ On mappings preserving measurability ⋮ A hitchhiker's guide to quasi-copulas ⋮ Extensions of fuzzy measures based on double generalization of the Lovász extension formula ⋮ Aggregation and signature based comparisons of multi-state systems via decompositions of fuzzy measures ⋮ The multilinear model in multicriteria decision making: the case of 2-additive capacities and contributions to parameter identification ⋮ Extensions of Capacities ⋮ Conditions on marginals and copula of component lifetimes for signature representation of system lifetime ⋮ On the probabilistic meaning of copula-based extensions of fuzzy measures. Applications to target-based utilities and multi-state reliability systems ⋮ On k–additive Aggregation Functions

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