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Qiu, Dong; Lu, Chongxia

On properties of pseudointegrals based on pseudoaddition decomposable measures. (English) Zbl 1474.28033

Abstr. Appl. Anal. 2014, Article ID 782040, 12 p. (2014).
Summary: We mainly discussed pseudointegrals based on a pseudoaddition decomposable measure. Particularly, we give the definition of the pseudointegral for a measurable function based on a strict pseudoaddition decomposable measure by generalizing the definition of the pseudointegral of a bounded measurable function. Furthermore, we got several important properties of the pseudointegral of a measurable function based on a strict pseudoaddition decomposable measure.

Cited in 1 Document

MSC:

28E10 Fuzzy measure theory
28A25 Integration with respect to measures and other set functions
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\textit{D. Qiu} and \textit{C. Lu}, Abstr. Appl. Anal. 2014, Article ID 782040, 12 p. (2014; Zbl 1474.28033)
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