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

DOI10.1016/S0165-0114(00)00021-XzbMath0983.28006OpenAlexW1984468607MaRDI QIDQ5947575

Qiang Zhang, Zi-You Gao

Publication date: 10 February 2002

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

Full work available at URL: https://doi.org/10.1016/s0165-0114(00)00021-x

zbMATH Keywords

chain variationdisjoint variationnon-additive set functionsJordan decompositioninclusion variationsigned fuzzy measures

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (4)

Choquet type \(L^{1}\)-spaces of a vector capacity ⋮ Some properties of the variations of non-additive set functions on \(T\)-tribes ⋮ Functions of bounded variation on effect algebras ⋮ Variations on effect algebras.

Cites Work

• Lebesgue decomposition theorem for \(\sigma\)-finite signed fuzzy measures
• Non-additive measure and integral
• Further discussion on the Hahn decomposition theorem for signed fuzzy measure
• Some properties of the variations of non-additive set functions. I
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