ON A CERTAIN CLASS OF SUBMEASURES BASED ON TRIANGULAR NORMS

DOI10.1142/S0218488509005887zbMath1181.28004MaRDI QIDQ5324313

Ondrej Hutník, Radko Mesiar

Publication date: 3 August 2009

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

zbMATH Keywords

triangular normMenger spaceprobabilistic metric spaceadditive generatorsubmeasure

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Fuzzy measure theory (28E10) Abstract differentiation theory, differentiation of set functions (28A15)

Related Items (5)

On some classes of distance distribution function-valued submeasures ⋮ On the probabilistic Hausdorff distance and a class of probabilistic decomposable measures ⋮ An integral with respect to probabilistic-valued decomposable measures ⋮ Probabilistic-valued decomposable set functions with respect to triangle functions ⋮ On distance distribution functions-valued submeasures related to aggregation functions

Cites Work

• Fuzzy measures and integrals
• A primer on triangle functions I
• On the Dobrakov submeasure on fuzzy sets
• An extension theorem for submeasures on Łukasiewicz-Moisil algebras
• DOMINATION OF AGGREGATION OPERATORS AND PRESERVATION OF TRANSITIVITY
• Statistical Metrics
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