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

Radko Mesiar; Peter Smrek — 2015

Kybernetika

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

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