Fuzzy integrals of set-valued mappings and fuzzy mappings
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Publication:1920312
DOI10.1016/0165-0114(94)00342-5zbMath0867.28017OpenAlexW2043021764MaRDI QIDQ1920312
Publication date: 25 August 1996
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0165-0114(94)00342-5
set-valued mappingFatou's lemmafuzzy integralfuzzy mappingfuzzy integral sequenceLebesgue's convergence theorem
Related Items (10)
Set-valued Choquet integrals revisited ⋮ A new kind of triangular integrals based on \(\mathfrak T\)-norms and \(\mathfrak T\)-conorms ⋮ The general Pettis-Sugeno integral of vector multifunctions relative to a vector fuzzy multimeasure ⋮ Possibilities as cumulative subjective probabilities and a norm on the space of congruence classes of fuzzy numbers motivated by an expected utility functional ⋮ A fuzzy Gould type integral ⋮ Multivalued Functions Integration: from Additive to Arbitrary Non-negative Set Function ⋮ On the representation of Choquet integrals of set-valued functions and null sets ⋮ Minimizing unconstrained fuzzy functions ⋮ Fuzzy integrals for set-valued mappings ⋮ Strong integral of multifunctions relative to a fuzzy measure
Cites Work
- On the theory of Banach space valued multifunctions. I: Integration and conditional expectation
- The autocontinuity of set function and the fuzzy integral
- Fuzzy measures and measures of fuzziness
- On integration of fuzzy mappings
- The fuzzy integral
- Fuzzy sets and systems. Theory and applications
- Towards fuzzy differential calculus. I: Integration of fuzzy mappings
- Convex analysis and measurable multifunctions
- Fuzzy integrals of fuzzy-valued functions
- Integrals of set-valued functions
- Fuzzy sets
- Fuzzy random variables
- Fuzzy differential equations
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