Geodesic
Choquet-like integrals with respect to level-dependent capacities and $\varphi $-ordinal sums of aggregation function
Kybernetika, Tome 51 (2015) no. 3, pp. 420-432.

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In this study we merge the concepts of Choquet-like integrals and the Choquet integral with respect to level dependent capacities. For finite spaces and piece-wise constant level-dependent capacities our approach can be represented as a $\varphi$-ordinal sum of Choquet-like integrals acting on subdomains of the considered scale, and thus it can be regarded as extension method. The approach is illustrated by several examples.
DOI : 10.14736/kyb-2015-3-0420
Classification : 28E05, 28E10
Keywords: Choquet integral; Choquet-like integral; level-dependent capacity; $\varphi $-ordinal sum of aggregation functions 
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Mesiar, Radko; Smrek, Peter. Choquet-like integrals with respect to level-dependent capacities and $\varphi $-ordinal sums of aggregation function. Kybernetika, Tome 51 (2015) no. 3, pp. 420-432. doi : 10.14736/kyb-2015-3-0420. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2015-3-0420/

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