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math.FA2023
Conditional Aggregation-Based Choquet Integral as a Choquet Integral on a Hyperspace
Jana Borzová, Lenka Halčinová, Jaroslav Šupina
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 transformat…
math.OC2023
Conditional aggregation-based Choquet integral on discrete space
Stanislav Basarik, Jana Borzová, Lenka Halčinová +1
We derive computational formulas for the generalized Choquet integral based on the novel survival function introduced by M. Boczek et al. [1]. We demonstrate its usefulness on the…
math.GN2023
Open filters and measurable cardinals
Serhii Bardyla, Jaroslav Supina, Lyubomyr Zdomskyy
In this paper, we investigate the poset of free open filters on a given space . In particular, we characterize spaces for which is a lattice. F…