Continuity and compactness of the indirect product of two non-additive measures

DOI10.1016/j.fss.2008.08.008zbMath1180.28008OpenAlexW1965529326MaRDI QIDQ1037946

Jun Kawabe

Publication date: 17 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.fss.2008.08.008

zbMATH Keywords

non-additive measurecompact measureindirect product measureuniform autocontinuityweak asymptotic null-additivity

Mathematics Subject Classification ID

Nonstandard measure theory (28E05)

Related Items (9)

Some notes on monotone set-valued measures and Egoroff's theorem ⋮ A note on the space of fuzzy measurable functions for a monotone measure ⋮ Atoms of weakly null-additive monotone measures and integrals ⋮ The continuity and compactness of Riesz space-valued indirect product measures ⋮ Regularities of Riesz space-valued non-additive measures with applications to convergence theorems for Choquet integrals ⋮ On the (M)-property of monotone measures and integrals on atoms ⋮ Coincidences of the concave integral and the pan-integral ⋮ Approximation of fuzzy neural networks based on Choquet integral ⋮ Regularity of fuzzy measures on complete and separable metric spaces

Cites Work

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• Regularity and Lusin's theorem for Riesz space-valued fuzzy measures
• The Alexandroff theorem for Riesz space-valued non-additive measures
• Projections in abstract sets
• On compact measures
• Remarks on the compactness and non direct products of measures

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