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.
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

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