A definition of Sipos integral is given, for real-valued functions and with respect to Dedekind complete Riesz space-valued capacities, and some main properties are proved. A comparison between Choquet and Sipos-type integrals is given, and some convergence theorems for the Sipos integral are proved. We use the Maeda-Ogasawara-Vulikh representation theorem for Riesz spaces. We examine also the particular case in which the capacities involved are submodular.
The symmetric Choquet integral with respect to Riesz space-valued capacities
BOCCUTO, Antonio;
2008
Abstract
A definition of Sipos integral is given, for real-valued functions and with respect to Dedekind complete Riesz space-valued capacities, and some main properties are proved. A comparison between Choquet and Sipos-type integrals is given, and some convergence theorems for the Sipos integral are proved. We use the Maeda-Ogasawara-Vulikh representation theorem for Riesz spaces. We examine also the particular case in which the capacities involved are submodular.File in questo prodotto:
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