23 citations · 52 across the 13 of their papers we have counts for
15 papers
Conditional Aggregation in Context-Aware Fuzzy Systems: A Fibered Representation Theory
Ondrej Hutník, Natália Puškárová
Conditional aggregation operators evaluate profiles relative to admissible contexts whose active sources, criteria, or rules may vary. For a fixed context, such an operator is inde…
Context Localization for Generalized Level-Based Evaluation in Knowledge-Based Systems
Ondrej Hutník, Natália Puškárová
We study context localization for generalized level-based evaluation in knowledge-based systems. The framework models situations where a structured nonnegative score, defined on fa…
Dimension Monotonicity in Laguerre Ensembles II: Average Singular Values and the Rectangularity Transition in the Orthogonal Case
Ondrej Hutník
We study the normalized half moment of the size- Laguerre orthogonal ensemble for real shape . At integer shape this is the expected average sing…
Dimension Monotonicity in Laguerre Ensembles I: Fractional Moments and Shape Transitions in the Unitary Case
Ondrej Hutník
Let have the Laguerre unitary distribution with size and real shape . For , we consider the normalized moment $$C_{s,λ}(N)=N^{-s-1}\mathbb{E}[\operatorn…
New monotone measure-based integrals inspired by scientific impact problem
Michał Boczek, Anton Hovana, Ondrej Hutník +1
In this paper, we define new functionals generalizing scientometric indices proposed by Mesiar and Gągolewski in 2016 to overcome some limitations of h-index. These functionals are…
General form of Chebyshev type inequality for generalized Sugeno integral
Michal Boczek, Anton Hovana, Ondrej Hutník
We prove a~general form of Chebyshev type inequality for generalized upper Sugeno integral in the form of necessary and sufficient condition. A key role in our considerations is pl…
On weighted strong type inequalities for the generalized weighted mean operator
Ondrej Hutník
The generalized weighted mean operator is given by with $$…
Toeplitz Operators on Poly-analytic Spaces via Time-Scale Analysis
Ondrej Hutník, Mária Hutníková
This is a review paper based on the series of our papers devoted to a structure of true-poly-analytic Bergman function spaces over the upper half-plane in the complex plane and to…
An integral with respect to probabilistic-valued decomposable measures
Lenka Halčinová, Ondrej Hutník
Several concepts of approximate reasoning in uncertainty processing are linked to the processing of distribution functions. In this paper we make use of probabilistic framework of…
Probabilistic-valued decomposable set functions with respect to triangle functions
Lenka Halčinová, Ondrej Hutník, Jana Molnárová
In the framework of the generalized measure theory the decomposable probabilistic-valued set functions are introduced with triangle functions in an appropriate probabilistic me…
On Toeplitz localization operators
Ondrej Hutník, Mária Hutníková
We present a unified approach to study properties of Toeplitz localization operators based on the Calderón and Gabor reproducing formula. We show that these operators with function…
On distance distribution functions-valued submeasures related to aggregation functions
Lenka Halčinová, Ondrej Hutník, Radko Mesiar
Probabilistic submeasures generalizing the classical (numerical) submeasures are introduced and discussed in connection with some classes of aggregation functions. A special attent…
On boundedness of Calderón-Toeplitz operators
Ondrej Hutník
We study the boundedness of Toeplitz-type operators defined in the context of the Calderón reproducing formula considering the specific wavelets whose Fourier transforms are relate…
Wavelets from Laguerre polynomials and Toeplitz-type operators
Ondrej Hutník
We study Toeplitz-type operators with respect to specific wavelets whose Fourier transforms are related to Laguerre polynomials. On the one hand, this choice of wavelets underlines…
Some special functions identities arising from commuting operators
Maria Hutnikova, Ondrej Hutnik
Commuting is an important property in many cases of investigation of properties of operators as well as in various applications, especially in quantum physics. Using the observatio…