Basarik, S., Borzová, J., Halčinová, L.: Survival functions versus conditional aggregation-based survival functions on discrete space.

Information Sciences. 586 (2022), 704-720.

Boczek, M., Halčinová, L., Hutník, O., Kaluszka, M.: Novel survival functions based on conditional aggregation operators, Information Sciences, 580 (2021), 705–719.

Borzová-Molnárová, J., Halčinová, L., Hutník, O.: The smallest semicopula-based universal integrals: Remarks and improvements. Fuzzy Sets and Syst. 393 (2020), 29–52.

Boczek, M., Halčinová, L., Hutník, O., Kaluszka, M.: Probabilistic measures and integrals: How to aggregate imprecise data. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2020, 12256 LNAI, pp. 78–91

Halčinová L., Hutník O., Kisel’ák J., Šupina J.: Beyond the scope of super level measures, Fuzzy Sets Syst.,364 (2019), 36–63.

Borzová-Molnárová, J., Halčinová, L., Hutník, O.: The smallest semicopula-based universal integrals I: Properties and characterizations. Fuzzy Sets and Syst.. 271 (2015), 1-17.

APVV-16-0337 "Integration in the context of generalized measures" (2017-2021), Principal Investigator: Ondrej Hutník

The project is devoted to several actual aspects of building the integrals based on non necessarily additive measures. On the one hand side there are studied integrals based in the classical level measure of Borel sets, which are certain classes related to copulas and semicopulas, and they include famous nonadditive integrals of Choquet, Shilkret and Sugeno, as well as many others. On the other side, the project develops the concept of super level measures and integrals based on this concept that provides a strong tool for solving problems in harmonic and time-frequency analysis.

SK-PL-18-0032 "Integrals with respect to nonadditive measures and their applications" (2018-2021), Principal Investigator: Ondrej Hutník

The bilateral project deals with the approach to integration and data aggregation in the context of nonadditive measures. The expected results are necessarz and sufficient conditions for the validitz of some inequalities for nonadditive integrals, the development of calculus for some classes of such integrals and the introduction of new integrals that would be suitable in the evaluation of scientometric data.

VEGA 1/0657/22 "Generalized aggregation operators: theory and applications" (2022-2025), Principal Investigator: Hutník

The project is devoted to basic research in data aggregation and applications of obtained results in multicriteria decision making, modeling of complex dependencies, engineering and economic areas. In the project we develop a theoretical background for aggregation based on the present concept of conditional aggregation operators. The main part of the project is related to study of generalized survival functions, level measures and nonadditive/nonlinear integrals based on them. Third part is related to research of measures of uncertainty, in which we focus on a study of aggregations of Choquet-Stieltjes type in entropy and divergence context having regard to use in risk theory.