Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
390392 | Fuzzy Sets and Systems | 2008 | 17 Pages |
Abstract
A comprehensive discussion of the theory of Choquet integration in a Riesz space is given. In particular, it is proved that the monotone convergence theorem, the Fatou lemma, and the dominated convergence theorem are still valid for Riesz space-valued non-additive measures if we assume that the Riesz space has a new property concerning the cardinality of the set of points of discontinuity of a monotone function.
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