5 citations · 9 across the 5 of their papers we have counts for
5 papers
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 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…