Geodesic
The symmetric Choquet integral with respect to Riesz-space-valued capacities
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 2, pp. 289-310.

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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.
Classification : 28A25, 28A70, 28B05, 28C99, 46G12
Keywords: Riesz spaces; capacities; integration; symmetric Choquet integral; monotone and dominated convergence theorems 
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     author = {Boccuto, Antonio and Rie\v{c}an, Beloslav},
     title = {The symmetric {Choquet} integral with respect to {Riesz-space-valued} capacities},
     journal = {Czechoslovak Mathematical Journal},
     pages = {289--310},
     publisher = {mathdoc},
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     number = {2},
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     zbl = {1174.28012},
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Boccuto, Antonio; Riečan, Beloslav. The symmetric Choquet integral with respect to Riesz-space-valued capacities. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 2, pp. 289-310. http://geodesic.mathdoc.fr/item/CMJ_2008__58_2_a0/