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.
adam.seliga@stuba.sk
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.
Decomposition Integrals and Related Research
November 21–23, 2024
Institute of Mathematics, Faculty of Science, Pavol Jozef Šafárik University in Košice
Show years: 2024 2023 2022 2021 2020 2019 2018
A framework for generalized monotonicity of fusion functions fulltext
Information Fusion 97, (2023), art.no. 101815
A new class of decomposition integrals on finite spaces fulltext
International Journal of Approximate Reasoning 149, (2022), pp. 192-205
A note on divisible discrete triangular norms fulltext
International Journal of Fuzzy Systems 19(1), (2022), pp. 73-81
Characterization of decomposition integrals extending Lebesgue integral fulltext
Fuzzy Sets and Systems 430, (2022), pp. 56-68
Collection integral vs. Choquet integral fulltext
Fuzzy Sets and Systems 412, (2021), pp. 95-105
Convolution of decomposition integrals fulltext
Mathematics 10(5), (2022), art.no. 747
Construction method of coherent lower and upper previsions based on collection integrals fulltext
Bollettino dell'Unione Matematica Italiana 13, (2020), pp. 469-476
Continuity of super- and sub-additive transformations of continuous functions fulltext
Iranian Journal of Fuzzy Systems 17(2), (2020), pp. 165-168
Convolution of aggregation functions fulltext
International Journal of General Systems 49(7), (2020), pp. 747-759
Decomposition integral without alternatives, its equivalence to Lebesgue integral, and computational algorithms fulltext
Journal of Automation, Mobile Robotics and Intelligent Systems 13(3), (2019), pp. 41-48
Greedy decomposition integrals fulltext
Iranian Journal of Fuzzy Systems 17(5), (2020), pp. 23-28
Integral representation of coherent lower previsions by super-additive integrals fulltext
Axioms 9(2), (2020), art.no. 43
Lifting continuity properties of aggregation functions to their super- and sub-additive transformations
Journal of Mahani Mathematical Research Center 8, (2019), pp. 37-51
Minimax decomposition integrals fulltext
Fuzzy Sets and Systems 465, (2023), art.no. 108529
n-K-increasing aggregation functions fulltext
Axioms 12(12), (2023), art.no. 1065
New results on perturbation-based copulas fulltext
Dependence Modeling 9(1), (2021), pp. 347-373
On comprehensive families of copulas involving the three basic copulas and transformations thereof fulltext
Dependence Modeling 12(1), (2024), art.no. 20240007
Parameterized transformations and truncation: When is the result a copula? fulltext
Journal of Computational and Applied Mathematics 436, (2024), art.no. 115340
Polynomial bivariate copulas of degree five: characterization and some particular inequalities fulltext
Dependence Modeling 9(1), (2021), pp. 13-42
Positively homogeneous and super-/sub-additive aggregation functions fulltext
Fuzzy Sets and Systems 451, (2022), pp. 385-397
Remarks on super-additive and sub-additive transformations of aggregation functions fulltext
Tatra Mountains Mathematical Publications 72, (2018), pp. 55-66
Sub-additive aggregation functions and their applications in construction of coherent upper previsions fulltext
Mathematics 9(1), (2021), art.no. 2
The impact on the properties of the EFGM copulas when extending this family fulltext
Fuzzy Sets and Systems 415, (2021), pp. 1-26
The section is under construction.