Set-valued Choquet integrals revisited

DOI10.1016/j.fss.2004.04.005zbMath1050.28011OpenAlexW2012706073MaRDI QIDQ1885695

Caimei Guo, Deli Zhang, Da you Liu

Publication date: 12 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.fss.2004.04.005

zbMATH Keywords

Choquet integralfuzzy measureset-valued functionconvergence theorem

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (17)

SET-VALUED CHOQUET-PETTIS INTEGRALS ⋮ Choquet integral Jensen's inequalities for set-valued and fuzzy set-valued functions ⋮ Some properties and convergence theorems of set-valued Choquet integrals ⋮ Unnamed Item ⋮ A new kind of triangular integrals based on \(\mathfrak T\)-norms and \(\mathfrak T\)-conorms ⋮ On properties of the Choquet integral of interval-valued functions ⋮ Note on the Choquet integral as an interval-valued aggregation operators and their applications ⋮ The general Pettis-Sugeno integral of vector multifunctions relative to a vector fuzzy multimeasure ⋮ A note on convergence properties of interval-valued capacity functionals and Choquet integrals ⋮ A note on the interval-valued generalized fuzzy integral by means of an interval-representable pseudo-multiplication and their convergence properties ⋮ Set-valued Lusin type theorem for null-null-additive set multifunctions ⋮ A fuzzy Gould type integral ⋮ Jensen's inequalities for set-valued and fuzzy set-valued functions ⋮ CONVERGENCE THEOREMS FOR THE CHOQUET-PETTIS INTEGRAL ⋮ Non-atomicity for fuzzy and non-fuzzy multivalued set functions ⋮ Strong integral of multifunctions relative to a fuzzy measure ⋮ Real-valued Choquet integrals for set-valued mappings

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