3 papers
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.FA2021
Survival functions versus conditional aggregation-based survival functions on~discrete~space
Stanislav Basarik, Jana Borzová, Lenka Halčinová
In this paper we deal with conditional aggregation-based survival functions recently introduced by Boczek et al. (2020). The concept is worth to study because of its possible imple…