Integrals of set-valued functions for \(\perp\)-decomposable measures

DOI10.1016/0165-0114(96)84615-XzbMath0872.28011MaRDI QIDQ678966

Deli Zhang, Caimei Guo

Publication date: 27 April 1997

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

zbMATH Keywords

\(\perp\)-decomposable measuresArchimedean \(t\)-conormsAumann integralsintegrals of set-valued functions

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (10)

Inequalities of the Chebyshev type based on pseudo-integrals ⋮ On pseudo-metric spaces induced by \(\sigma\)-\(\perp\)-decomposable measures ⋮ Extension of a class of decomposable measures via generalized pseudo-metrics ⋮ On the probabilistic Hausdorff distance and a class of probabilistic decomposable measures ⋮ Jensen and Chebyshev inequalities for pseudo-integrals of set-valued functions ⋮ A premium principle based on the g-integral ⋮ On set-valued fuzzy measures. ⋮ An approach to pseudo-integration of set-valued functions ⋮ Jensen's inequalities for set-valued and fuzzy set-valued functions ⋮ On decomposable measures constructed by using stationary fuzzy pseudo-ultrametrics

Cites Work

• Conditional measures and their applications to fuzzy sets
• Fuzzy integrals of fuzzy-valued functions
• On set-valued fuzzy integrals
• \(\perp\)-decomposable measures and integrals for Archimedean t-conorms \(\perp\)
• Integrals of set-valued functions
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