On the representation of Choquet integrals of set-valued functions and null sets
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Publication:1568501
DOI10.1016/S0165-0114(98)00184-5zbMath0946.28012OpenAlexW2077431745MaRDI QIDQ1568501
Joong Sung Kwon, Lee-Chae Jang
Publication date: 22 October 2000
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0165-0114(98)00184-5
Related Items (15)
SET-VALUED CHOQUET-PETTIS INTEGRALS ⋮ Interval-valued Choquet integral for set-valued mappings: definitions, integral representations and primitive characteristics ⋮ Set-valued Choquet integrals revisited ⋮ Choquet integral Jensen's inequalities for set-valued and fuzzy set-valued functions ⋮ On properties of the Choquet integral of interval-valued functions ⋮ Note on the Choquet integral as an interval-valued aggregation operators and their applications ⋮ 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 ⋮ Some properties of the interval-valued \(\bar g\)-integrals and a standard interval-valued \(\bar g\)-convolution ⋮ A fuzzy Gould type integral ⋮ Multivalued Functions Integration: from Additive to Arbitrary Non-negative Set Function ⋮ A special class of fuzzy measures: Choquet integral and applications ⋮ Strong integral of multifunctions relative to a fuzzy measure ⋮ Real-valued Choquet integrals for set-valued mappings
Cites Work
- A representation theorem for Aumann integrals
- Fuzzy t-conorm integral with respect to fuzzy measures: Generalization of Sugeno integral and Choquet integral
- A theory of fuzzy measures: Representations, the Choquet integral, and null sets
- Integrals, conditional expectations, and martingales of multivalued functions
- Some properties of Choquet integrals of set-valued functions
- Fuzzy integrals of fuzzy-valued functions
- On set-valued fuzzy integrals
- Fuzzy integrals of set-valued mappings and fuzzy mappings
- Integrals of set-valued functions
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