On some classes of distance distribution function-valued submeasures

DOI10.1016/j.na.2010.10.026zbMath1227.54034OpenAlexW2072693432MaRDI QIDQ629267

Ondrej Hutník, Lenka Halčinová, Radko Mesiar

Publication date: 9 March 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.10.026

zbMATH Keywords

pseudo-metrictriangular normMenger spaceprobabilistic metric spacegenerated metricsubmeasure

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Probabilistic measure theory (60A10) Probabilistic metric spaces (54E70)

Related Items (6)

On pseudo-metric spaces induced by \(\sigma\)-\(\perp\)-decomposable measures ⋮ Extension of a class of decomposable measures via generalized pseudo-metrics ⋮ 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

• On the structure of semi-groups on a compact manifold with boundary
• \(T\)-equalities as fuzzy non-archimedean metrics and \(\delta ^{+}\)-fuzzy equivalences of type \(S\)
• A primer on triangle functions I
• Triangular norms
• Metrics and \(\mathcal T\)-equalities
• ON A CERTAIN CLASS OF SUBMEASURES BASED ON TRIANGULAR NORMS
• Aggregation operators. New trends and applications
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