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arXiv · 2308.03546

Conditional Aggregation-Based Choquet Integral as a Choquet Integral on a Hyperspace

Jana Borzová·Lenka Halčinová·Jaroslav Šupina
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Abstract

We aim at representing the recently introduced conditional aggregation-based Choquet integral as a standard Choquet integral on a hyperset. The representation is one of transformations considered by R.R. Yager and R. Mesiar in 2015. Thus we study the properties of the conditional aggregation-based Choquet integral using well-known facts about the standard Choquet integral. In particular, we obtain several formulas for its computation. We also provide the representation of the conditional aggregation-based Choquet integral in terms of the M\"obius transform.

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Jana Borzová, Lenka Halčinová, Jaroslav Šupina. 2023-08-07. Conditional Aggregation-Based Choquet Integral as a Choquet Integral on a Hyperspace. https://arxiv.org/abs/2308.03546

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