Regularity and Lusin's theorem for Riesz space-valued fuzzy measures

DOI10.1016/j.fss.2006.12.010zbMath1121.28021OpenAlexW2060935534MaRDI QIDQ879017

Jun Kawabe

Publication date: 4 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.fss.2006.12.010

zbMATH Keywords

multiple Egoroff propertyNon-additive measuresregularity of non-additive measures

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (18)

Atomicity via regularity for non-additive set multifunctions ⋮ Some notes on monotone set-valued measures and Egoroff's theorem ⋮ Pseudo-atoms and Darboux property for set multifunctions ⋮ A Lusin type theorem for regular monotone uniformly autocontinuous set multifunctions ⋮ The Alexandroff theorem for Riesz space-valued non-additive measures ⋮ On a sufficient condition of Lusin's theorem for non-additive measures that take values in an ordered topological vector space ⋮ Set-valued Lusin type theorem for null-null-additive set multifunctions ⋮ The continuity and compactness of Riesz space-valued indirect product measures ⋮ Lusin's theorem on monotone measure spaces ⋮ A set-valued Egoroff type theorem ⋮ Convergence theorems for monotone measures ⋮ Regularities of Riesz space-valued non-additive measures with applications to convergence theorems for Choquet integrals ⋮ Regularity and autocontinuity of set multifunctions ⋮ Continuity and compactness of the indirect product of two non-additive measures ⋮ Non-atomicity for fuzzy and non-fuzzy multivalued set functions ⋮ Lusin's theorem for monotone set-valued measures on topological spaces ⋮ Nonadditive measures and nonlinear integrals —focusing on a theoretical aspect— ⋮ 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
• On Egoroff's theorems on finite monotone non-additive measure space
• On Egoroff's theorems on fuzzy measure spaces
• Lusin's theorem on fuzzy measure spaces
• Conditions for Egoroff's theorem in non-additive measure theory
• EGOROFF'S THEOREM ON MONOTONE NON-ADDITIVE MEASURE SPACES
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