On fuzzy measure and fuzzy integral on fuzzy set

DOI10.1016/0165-0114(90)90065-EzbMath0701.28011MaRDI QIDQ913973

N. E. Zubov

Publication date: 1990

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

zbMATH Keywords

fuzzy measureconvergence theorems of a sequence of fuzzy integrals on fuzzy setsLebesgue's theoremsRiesz's theorems

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (15)

Lattice-valued fuzzy measure and lattice-valued fuzzy integral ⋮ Convergence of sequences of fuzzy random variables and its application ⋮ \(Q\)-scale measures of fuzzy sets ⋮ Necessary and sufficient consensus conditions for the eventwise aggregation of lower probabili\-ties ⋮ Fuzzy Fractional Equation with Derivative of Atangana-Baleanu and Fuzzy Semigroup ⋮ Fuzzy measures and integrals defined on algebras of fuzzy subsets over complete residuated lattices ⋮ Fuzzy logic-based generalized decision theory with imperfect information ⋮ Fuzzy integrals on L-fuzzy sets ⋮ On the null-additivity and the autocontinuity of a fuzzy measure ⋮ On the closure of families of fuzzy measures under eventwise aggregations ⋮ Fuzzy random reliability of structures based on fuzzy random variables ⋮ On non-monotonic fuzzy measures of \(\Phi\)-bounded variation ⋮ An extension of Sugeno integral ⋮ Fuzzy number fuzzy measures and fuzzy integrals. II. Fuzzy integrals of fuzzy-valued functions with respect to fuzzy number fuzzy measures on fuzzy sets ⋮ Transformation theorems of abstract integrals on fuzzy sets

Cites Work

• Transformation theorems for fuzzy integrals on fuzzy sets
• The autocontinuity of set function and the fuzzy integral
• Asymptotic structural characteristics of fuzzy measure and their applications
• On the extension of possibility measures
• The fuzzy integral
• Fuzzy \(\sigma\)-algebras and fuzzy measurable functions
• On the construction of fuzzy measures
• Fuzzy sets as a basis for a theory of possibility
• Fuzzy sets
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