Extension on the fuzzy integral based on ⊕ -decomposable measure

Mamadou Traore

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 28, 1-9

Abstract:

We extend the concept of fuzzy integral based on ⊕ -decomposable measure from nonnegative fuzzy measurable function to extended real-valued fuzzy measurable function. Further investigations of fuzzy integrals based on pseudo-additive decomposable measure are carried out. Meanwhile, the space ( S ( μ ) , σ ( ⋅ , ⋅ ) ) of all fuzzy measurable function will be proved to be a pseudo-metric space. Finally, as an application of this extension the Pettis integral will be obtained for that kind of fuzzy integral.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:293090

DOI: 10.1155/S0161171201007281

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