activity
20142025
most citedGeneral form of Chebyshev type inequality for generalized Sugeno integral

13 citations · 30 across the 13 of their papers we have counts for

collaborators

13 papers

math.GM2025

On admissible pairs of aggregation functions based on quasi-linear means and related families

Michał Boczek, Marek Kaluszka, Jakub Łompieś

Admissible orders play a key role in ranking subintervals of the unit interval. In 2013, Bustince et al. proposed constructing such relations by means of admissible pairs of aggreg…

math.GM2024

The Choquet-like operator with respect to an admissible order as a tool for aggregating multivalued data

Michał Boczek, Tomasz Józefiak, Marek Kaluszka +1

In this paper, we propose a new generalization of the classical discrete Choquet integral to the multivalued framework in terms of an admissible order that refines the natural part…

math.GM2022★ 9 cited

Generalized level measure based on a family of conditional aggregation operators

Michal Boczek, Ondrej Hutník, Marek Kaluszka +1

Extending the concept of level measure we introduce a generalized level measure based on a~family of conditional aggregations operators. We investigate in detail se…

math.FA2021

Choquet-Sugeno-like operator based on relation and conditional aggregation operators

Michal Boczek, Ondrej Hutník, Marek Kaluszka

We introduce a~\textit{Choquet-Sugeno-like operator} generalizing many operators for bounded functions and monotone measures from the literature, e.g., Sugeno-like operator, Lovász…

math.FA2020

New monotone measure-based integrals inspired by scientific impact problem

Michał Boczek, Anton Hovana, Ondrej Hutník +1

In this paper, we define new functionals generalizing scientometric indices proposed by Mesiar and Gągolewski in 2016 to overcome some limitations of h-index. These functionals are…

math.GM2019★ 13 cited

General form of Chebyshev type inequality for generalized Sugeno integral

Michal Boczek, Anton Hovana, Ondrej Hutník

We prove a~general form of Chebyshev type inequality for generalized upper Sugeno integral in the form of necessary and sufficient condition. A key role in our considerations is pl…