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The symmetric Choquet integral with respect to Riesz-space-valued capacities

Antonio Boccuto, Beloslav Riečan (2008)

Czechoslovak Mathematical Journal

A definition of “Šipoš integral” is given, similarly to [3],[5],[10], for real-valued functions and with respect to Dedekind complete Riesz-space-valued “capacities”. A comparison of Choquet and Šipoš-type integrals is given, and some fundamental properties and some convergence theorems for the Šipoš integral are proved.

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