Relationship among continuity conditions and null-additivity conditions in non-additive measure theory

DOI10.1016/j.fss.2005.10.017zbMath1091.28010OpenAlexW2042012404MaRDI QIDQ2492320

Toshiaki Murofushi, Shin Asahina, Kenta Uchino

Publication date: 9 June 2006

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

Full work available at URL: https://doi.org/10.1016/j.fss.2005.10.017

zbMATH Keywords

continuitynull-additivitynon-additive measures

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (7)

The topology on the space of measurable functions that is compatible with convergence in nonadditive measure ⋮ Atoms of weakly null-additive monotone measures and integrals ⋮ Autocontinuity and convergence theorems for the Choquet integral ⋮ Lusin's theorem on monotone measure spaces ⋮ A set-valued Egoroff type theorem ⋮ 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

• Erratum to ``Relationship among continuity conditions and null-additivity conditions in non-additive measure theory
• The autocontinuity of set function and the fuzzy integral
• 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
• NULL-ADDITIVE FUZZY MEASURES ON S-COMPACT SPACES*
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