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

Creator:
Boccuto, Antonio and Riečan, Beloslav
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Riesz spaces, capacities, integration, symmetric Choquet integral, and monotone and dominated convergence theorems
Language:
English
Description:
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.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public