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Keywords:
Choquet integral; Choquet-like integral; level-dependent capacity; $\varphi $-ordinal sum of aggregation functions
Choquet integral; Choquet-like integral; level-dependent capacity; $\varphi $-ordinal sum of aggregation functions
Summary:
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.
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