Conditional Aggregation-Based Choquet Integral as a Choquet Integral on a Hyperspace
Functional Analysis
2023-08-08 v1
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.
Cite
@article{arxiv.2308.03546,
title = {Conditional Aggregation-Based Choquet Integral as a Choquet Integral on a Hyperspace},
author = {Jana Borzová and Lenka Halčinová and Jaroslav Šupina},
journal= {arXiv preprint arXiv:2308.03546},
year = {2023}
}