Lebesgue decomposition theorem for \(\sigma\)-finite signed fuzzy measures

DOI10.1016/S0165-0114(97)00054-7zbMath0934.28013MaRDI QIDQ1302246

Wen Du, Qiang Zhang, Yang Xu

Publication date: 11 April 2000

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

zbMATH Keywords

Lebesgue decompositionsigned fuzzy measuresnull-null additivity

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (2)

Some properties of the variations of non-additive set functions. I ⋮ Some properties of the variations of non-additive set functions. II

Cites Work

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• Fuzzy measures defined by fuzzy integral and their absolute continuity
• \(\perp\)-decomposable measures and integrals for Archimedean t-conorms \(\perp\)
• Further discussion on the Hahn decomposition theorem for signed fuzzy measure
• Non-monotonic fuzzy measures and the Choquet integral
• The range of null-additive fuzzy and non-fuzzy measures
• Lebesgue and Saks decompositions of \(\sigma\)-finite fuzzy measures

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