On the null-additivity and the autocontinuity of a fuzzy measure

DOI10.1016/0165-0114(92)90122-KzbMath0751.28010MaRDI QIDQ1192485

Zhenyuan Wang

Publication date: 27 September 1992

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

zbMATH Keywords

fuzzy measuresnull-additivityautocontinuity

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (15)

Monotone set functions defined by Choquet integral ⋮ Fuzzy measures on metric spaces ⋮ On the regularity of the fuzzy measure on metric fuzzy measure spaces ⋮ Further discussion on the Hahn decomposition theorem for signed fuzzy measure ⋮ The range of null-additive fuzzy and non-fuzzy measures ⋮ Lebesgue and Saks decompositions of \(\sigma\)-finite fuzzy measures ⋮ On the null-additivity of the fuzzy measure ⋮ Autocontinuity and convergence theorems for the Choquet integral ⋮ Some properties of the variations of non-additive set functions. I ⋮ Pseudometric generating property and autocontinuity of fuzzy measures ⋮ Notes on Riesz's theorem on fuzzy measure space ⋮ Nonadditive measures and nonlinear integrals —focusing on a theoretical aspect— ⋮ Lebesgue decomposition theorem for \(\sigma\)-finite signed fuzzy measures ⋮ On fuzzy measures defined by seminormed fuzzy integrals and semiconormed fuzzy integrals ⋮ On the null-additivity and the uniform autocontinuity of a fuzzy measure

Cites Work

• On fuzzy measure and fuzzy integral on fuzzy set
• The autocontinuity of set function and the fuzzy integral
• Asymptotic structural characteristics of fuzzy measure and their applications
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