Lebesgue and Saks decompositions of \(\sigma\)-finite fuzzy measures
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Publication:1920335
DOI10.1016/0165-0114(94)00360-JzbMath0857.28013OpenAlexW2032739683MaRDI QIDQ1920335
Hisakichi Suzuki, Qingshan Jiang
Publication date: 12 March 1997
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0165-0114(94)00360-j
fuzzy measuresLebesgue decompositionexhaustivityfuzzy integralabsolute continuityautocontinuitySaks decomposition
Related Items (12)
Fuzzy measures on metric spaces ⋮ Pseudo-atoms of fuzzy and non-fuzzy measures ⋮ Some notes on monotone set-valued measures and Egoroff's theorem ⋮ A Lusin type theorem for regular monotone uniformly autocontinuous set multifunctions ⋮ Atoms of weakly null-additive monotone measures and integrals ⋮ Continuity properties and Alexandroff theorem in Vietoris topology ⋮ Some properties of the variations of non-additive set functions. I ⋮ Convergence of sequence of measurable functions on fuzzy measure spaces ⋮ Pseudometric generating property and autocontinuity of fuzzy measures ⋮ Exhausitivity and absolute continuity of fuzzy measures ⋮ Nonadditive measures and nonlinear integrals —focusing on a theoretical aspect— ⋮ Lebesgue decomposition theorem for \(\sigma\)-finite signed fuzzy measures
Cites Work
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- Lebesgue and Saks decompositions of \(\perp\)-decomposable measures
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- The fuzzy integral
- Atoms of fuzzy measures and fuzzy integrals
- On the null-additivity and the autocontinuity of a fuzzy measure
- The range of null-additive fuzzy and non-fuzzy measures
- On the continuity of certain non-additive set functions
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