Abstract: In this paper the Choquet integrals on L-fuzzy sets is introduced, and some elementary properties of this kind of Choquet integrals are studied. A necessary and sufficient condition that the equality of two measurable mappings almost everywhere can always imply the equality of their corresponding integrals is given. Convergence theorems of a sequence of Choquet integrals are shown. Finally, as an application of Choquet integrals, a new set function defined by Choquet integrals is discussed.
Publication Year: 2008
Publication Date: 2008-10-01
Language: en
Type: article
Indexed In: ['crossref']
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