Absolute Continuity of Monotone Measure and Convergence in Measure

DOI10.1007/978-3-642-14055-6_52zbMath1200.28003OpenAlexW1505196626MaRDI QIDQ3164042

Qiang Zhang, Jun Li, Radko Mesiar

Publication date: 27 October 2010

Published in: Communications in Computer and Information Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-14055-6_52

zbMATH Keywords

convergence in measuremonotone measurestrong absolute continuitypseudo-convergence in measure

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Spaces of measures, convergence of measures (28A33)

Related Items (4)

Generalized convergence in measure theorems of Sugeno integrals ⋮ Convergence theorems for Choquet integrals with generalized autocontinuity ⋮ Atoms of monotone set-valued measures and integrals ⋮ Convergence theorems for monotone measures

Cites Work

• Convergence of sequence of measurable functions on fuzzy measure spaces
• Exhausitivity and absolute continuity of fuzzy measures
• Pseudometric generating property and autocontinuity of fuzzy measures
• On Egoroff's theorems on finite monotone non-additive measure space
• Fuzzy measures defined by fuzzy integral and their absolute continuity
• Order continuous of monotone set function and convergence of measurable functions sequence
• Property (S) of fuzzy measure and Riesz theorem
• Duality and ordinality in fuzzy measure theory
• Generalized Measure Theory
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