On decomposable measures induced by metrics

DOI10.1155/2012/701206zbMath1252.28001OpenAlexW2039234766WikidataQ58907184 ScholiaQ58907184MaRDI QIDQ1760811

Weiquan Zhang, Dong Qiu

Publication date: 15 November 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/701206

zbMATH Keywords

Hausdorff pseudometric\(\sigma\)-max-superdecomposable measurealgebra of all measurable sets

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Measures on Boolean rings, measure algebras (28A60) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

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 ⋮ On properties of pseudointegrals based on pseudoaddition decomposable measures ⋮ ON MEASURABLE FUNCTIONAL SPACES BASED ON PSEUDO-ADDITION DECOMPOSABLE MEASURES ⋮ Unnamed Item

Cites Work

• Fuzzy Prokhorov metric on the set of probability measures
• Pseudo-additive measures and integrals
• Non-additive measure and integral
• The Hausdorff nearest circle to a convex compact set in the plane
• \(\perp\)-decomposable measures and integrals for Archimedean t-conorms \(\perp\)
• Theory of capacities
• Mixing Markov Chains and Their Images
• Generalized Measure Theory
• A CLASS OF FUZZY MEASURES BASED ON TRIANGULAR NORMS A general framework for the combination of uncertain information
• PROBABILISTIC MULTI-VALUED CONTRACTIONS AND DECOMPOSABLE MEASURES
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