9 citations · 23 across the 15 of their papers we have counts for
15 papers
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…
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…
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…
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…
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…
Sharp bounds of Jensen type for the generalized Sugeno integral
Michał Boczek, Marek Kałuszka
In this paper we provide two-sided attainable bounds of Jensen type for the generalized Sugeno integral of {\it any} measurable function. The results extend the previous results of…
On Jensen's inequality for generalized Choquet integral with an application to risk aversion
Wioletta Szeligowska, Marek Kaluszka
In the paper we give necessary and sufficient conditions for the Jensen inequality to hold for the generalized Choquet integral with respect to a pair of capacities. Next, we apply…
On the Minkowski-Hölder type inequalities for generalized Sugeno integrals with an application
Michał Boczek, Marek Kaluszka
In this paper, we use a new method to obtain the necessary and sufficient condition guaranteeing the validity of the Minkowski-Hölder type inequality for the generalized upper Suge…
An answer to an open problem on seminormed fuzzy integral
Michal Boczek, Marek Kaluszka
We give an answer to Problem 9.3 stated by by Mesiar and Stupnanova (2015). We show that the class of semicopulas solving this problem contains any associative semicopula S such th…
On the average rate of return in a continuous time stochastic model
Leslaw Gajek, Marek Kaluszka
In a discrete time stochastic model of a pension investment funds market Gajek and Kaluszka(2000a) have provided a definition of the average rate of return which satisfies a set of…
On the martingale-fair index of return for investment funds
Leslaw Gajek, Marek Kaluszka
A concept of martingale-fair index of return, consistent with Arbitrage Free Pricing Theory, is introduced. An explicit formula for the average rate of return of a group of investm…
On Carlson's inequality for Sugeno and Choquet integrals
Michał Boczek, Marek Kaluszka
We present a Carlson type inequality for the generalized Sugeno integral and a much wider class of functions than the comonotone functions. We also provide three Carlson type inequ…
Convergence theorems for seminormed fuzzy integrals: Solutions to Hutnìk's open problems
Michał Boczek, Marek Kaluszka
In this note, we give solutions to Problems and which were presented by Mesiar and Stupňanová [{\it Open problems from the 12th International Conference on Fuzzy Set T…
On some properties of seminormed fuzzy integrals
Michał Boczek, Marek Kaluszka
We give solutions to Problems 2.21, 2.31 and 2.32, which were posed Borzowá-Molnárová, Halčinová and Hutník in [{\it The smallest semicopula-based universal integrals I: properties…
The solution of Hutník's open problem
Michał Boczek, Marek Kaluszka
In this note, we give a solution to Problem , which was presented by Mesiar and Stupňanová [{\it Open problems from the 12th International Conference on Fuzzy Set Theory and I…