Non-atomicity and the Darboux property for fuzzy and non-fuzzy Borel/Baire multivalued set functions

DOI10.1016/J.FSS.2008.06.009zbMath1182.28020OpenAlexW2157955014MaRDI QIDQ1037944

J. Blot

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.2008.06.009

zbMATH Keywords

atomregularnon-atomicDarboux propertyfuzzy multivalued set functionmulti submeasuremultimeasure

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Fuzzy measure theory (28E10) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (13)

Pseudo-Convergences of Sequences of Measurable Functions on Monotone Multimeasure Spaces ⋮ Pseudo-atoms and Darboux property for set multifunctions ⋮ A Lusin type theorem for regular monotone uniformly autocontinuous set multifunctions ⋮ Continuity properties and Alexandroff theorem in Vietoris topology ⋮ Autocontinuity of set-valued fuzzy measures and applications ⋮ Regularity aspects of non-additive set multifunctions ⋮ Atoms of monotone set-valued measures and integrals ⋮ A fuzzy Gould type integral ⋮ Regularity and autocontinuity of set multifunctions ⋮ Erratum to ``Non-atomicity and the Darboux property for fuzzy and non-fuzzy Borel/Baire multivalued set functions ⋮ The pseudo-convergence of measurable functions on set-valued fuzzy measure space ⋮ Lusin's theorem for monotone set-valued measures on topological spaces ⋮ On nonatomicity for non-additive functions

Cites Work

• Pseudo-atoms of fuzzy and non-fuzzy measures
• Atoms of fuzzy measures and fuzzy integrals
• On the Dobrakov submeasure on fuzzy sets
• Extensions of group‐valued regular Borel measures
• Darboux property of a non-additive set function
• ON VECTOR MEASURES WITH THE DARBOUX PROPERTY
• On Vector Measures
• Regularity of Baire Measures
• Regularity of Group Valued Baire and Borel Measures
• An Embedding Theorem for Spaces of Convex Sets
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