About Me

Adam Šeliga

Hi! My name is Adam Šeliga.

I am a research scientist at the Slovak University of Technology in Bratislava, Slovakia. I completed my PhD studies in 2021 under the supervision of Professor Radko Mesiar. The main focus of my research is on decomposition integrals, aggregation functions, copulas, and related objects.


Project: Non-linear Integrals and Their Applications

For the period from July 2024 to June 2026, I have obtained a funding by the EU NextGenerationEU through the Recovery and Resilience Plan for Slovakia, under the project No. 09I03-03-V04-00276, to study decomposition integrals and their usability in applications.

NextGenerationEU, Recovery and Resilience Plan for Slovakia

Supported work trips

Published Papers

Show years: 2024 2023 2022 2021 2020 2019 2018

A framework for generalized monotonicity of fusion functions fulltext

Sesma-Sara, M., Šeliga, A., Boczek, M., Jin, L., Kaluszka, M., Kalina, M., Bustince, H., Mesiar, R.

Information Fusion 97, (2023), art.no. 101815

A new class of decomposition integrals on finite spaces fulltext

Mesiar, R., Li, J., Ouyang, Y., Šeliga, A.

International Journal of Approximate Reasoning 149, (2022), pp. 192-205

A note on divisible discrete triangular norms fulltext

Kouchakinejad, F., Stupňanová, A., Šeliga, A.

International Journal of Fuzzy Systems 19(1), (2022), pp. 73-81

Characterization of decomposition integrals extending Lebesgue integral fulltext

Li, J., Mesiar, R., Ouyang, Y., Šeliga, A.

Fuzzy Sets and Systems 430, (2022), pp. 56-68

Collection integral vs. Choquet integral fulltext

Šeliga, A., Smrek, P.

Fuzzy Sets and Systems 412, (2021), pp. 95-105

Convolution of decomposition integrals fulltext

Šeliga, A.

Mathematics 10(5), (2022), art.no. 747

Construction method of coherent lower and upper previsions based on collection integrals fulltext

Doria, S., Mesiar, R., Šeliga, A.

Bollettino dell'Unione Matematica Italiana 13, (2020), pp. 469-476

Continuity of super- and sub-additive transformations of continuous functions fulltext

Šeliga, A., Širáň, J.

Iranian Journal of Fuzzy Systems 17(2), (2020), pp. 165-168

Convolution of aggregation functions fulltext

Mesiar, R., Šeliga, A., Šipošová, A., Širáň, J.

International Journal of General Systems 49(7), (2020), pp. 747-759

Decomposition integral without alternatives, its equivalence to Lebesgue integral, and computational algorithms fulltext

Šeliga, A.

Journal of Automation, Mobile Robotics and Intelligent Systems 13(3), (2019), pp. 41-48

Greedy decomposition integrals fulltext

Šeliga, A.

Iranian Journal of Fuzzy Systems 17(5), (2020), pp. 23-28

Integral representation of coherent lower previsions by super-additive integrals fulltext

Doria, S., Mesiar, R., Šeliga, A.

Axioms 9(2), (2020), art.no. 43

Lifting continuity properties of aggregation functions to their super- and sub-additive transformations

Šeliga, A., Šipošová, A., Širáň, J.

Journal of Mahani Mathematical Research Center 8, (2019), pp. 37-51

Minimax decomposition integrals fulltext

Šeliga, A., Mesiar, R., Ouyang, Y., Li, J.

Fuzzy Sets and Systems 465, (2023), art.no. 108529

n-K-increasing aggregation functions fulltext

Mesiar, R., Kolesárová, A., Šeliga, A., Halaš, R.

Axioms 12(12), (2023), art.no. 1065

New results on perturbation-based copulas fulltext

Saminger-Platz, S., Kolesárová, A., Šeliga, A., Mesiar, R., Klement, E.P.

Dependence Modeling 9(1), (2021), pp. 347-373

On comprehensive families of copulas involving the three basic copulas and transformations thereof fulltext

Saminger-Platz, S., Kolesárová, A., Šeliga, A., Mesiar, R., Klement, E.P.

Dependence Modeling 12(1), (2024), art.no. 20240007

Parameterized transformations and truncation: When is the result a copula? fulltext

Saminger-Platz, S., Kolesárová, A., Šeliga, A., Mesiar, R., Klement, E.P.

Journal of Computational and Applied Mathematics 436, (2024), art.no. 115340

Polynomial bivariate copulas of degree five: characterization and some particular inequalities fulltext

Šeliga, A., Kauers, M., Saminger-Platz, S., Mesiar, R., Kolesárová, A., Klement, E.P.

Dependence Modeling 9(1), (2021), pp. 13-42

Positively homogeneous and super-/sub-additive aggregation functions fulltext

Šeliga, A., Hriňáková, K., Seligova, I.

Fuzzy Sets and Systems 451, (2022), pp. 385-397

Remarks on super-additive and sub-additive transformations of aggregation functions fulltext

Hriňáková, K., Šeliga, A.

Tatra Mountains Mathematical Publications 72, (2018), pp. 55-66

Sub-additive aggregation functions and their applications in construction of coherent upper previsions fulltext

Doria, S., Mesiar, R., Šeliga, A.

Mathematics 9(1), (2021), art.no. 2

The impact on the properties of the EFGM copulas when extending this family fulltext

Saminger-Platz, S., Kolesárová, A., Šeliga, A., Mesiar, R., Klement, E.P.

Fuzzy Sets and Systems 415, (2021), pp. 1-26

Conference Abstracts and Papers

The section is under construction.