Kybernetika 51 no. 3, 420-432, 2015

Choquet-like integrals with respect to level-dependent capacities and φ-ordinal sums of aggregation function

Radko Mesiar and Peter SmrekDOI: 10.14736/kyb-2015-3-0420


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.


Choquet integral, Choquet-like integral, level-dependent capacity, $\varphi $-ordinal sum of aggregation functions


28E05, 28E10


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