9 citations · 23 across the 15 of their papers we have counts for
6 papers · 1 filter
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…