On sufficient conditions for the Egoroff theorem of an ordered topological vector space-valued non-additive measure

DOI10.1016/j.fss.2010.09.012zbMath1210.28029OpenAlexW2021194178MaRDI QIDQ622087

Toshikazu Watanabe

Publication date: 31 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.fss.2010.09.012

zbMATH Keywords

Egoroff theoremnon-additive measureordered vector spacelocally full topology

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (5)

On a sufficient condition of Lusin's theorem for non-additive measures that take values in an ordered topological vector space ⋮ Convergence theorems for monotone measures ⋮ Generalized convergence theorems for monotone measures ⋮ Vector valued information measures and integration with respect to fuzzy vector capacities ⋮ On Lusin's theorem for non-additive measures that take values in an ordered topological vector space

Cites Work

• The Egoroff theorem for non-additive measures in Riesz spaces
• The Egoroff property and the Egoroff theorem in Riesz space-valued non-additive measure theory
• Convergence of sequence of measurable functions on fuzzy measure spaces
• On Egoroff's theorems on finite monotone non-additive measure space
• Order continuous of monotone set function and convergence of measurable functions sequence
• On Egoroff's theorems on fuzzy measure spaces
• Conditions for Egoroff's theorem in non-additive measure theory
• Property (S) of fuzzy measure and Riesz theorem
• EGOROFF'S THEOREM ON MONOTONE NON-ADDITIVE MEASURE SPACES
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