Geodesic
Twofold integral and multi-step Choquet integral
Kybernetika, Tome 40 (2004) no. 1, p. [39].

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In this work we study some properties of the twofold integral and, in particular, its relation with the 2-step Choquet integral. First, we prove that the Sugeno integral can be represented as a 2-step Choquet integral. Then, we turn into the twofold integral studying some of its properties, establishing relationships between this integral and the Choquet and Sugeno ones and proving that it can be represented in terms of 2-step Choquet integral.
Classification : 03H05, 28E05, 28E10, 68T37
Keywords: aggregation; Choquet and Sugenointegrals; multi-step integral; twofold integral 
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Narukawa, Yasuo; Torra, Vicenç. Twofold integral and multi-step Choquet integral. Kybernetika, Tome 40 (2004) no. 1, p. [39]. http://geodesic.mathdoc.fr/item/KYB_2004__40_1_a3/