Position:
Researcher
Department:
Department of Mathematics (DM)
Room:
NB 619
eMail:
Home page:
https://www.uiam.sk/402444
Phone:
+421 259 325 344
Research activities:
Measure and integration theory, non-standard methods of uncertainty, theory of aggregation operators

Selected publications

Chapter or pages in book

  1. R. Mesiar – A. Kolesárová – A. Stupňanová – R. R. Yager: Normed Utility Functions: Some Recent Advances, In New Perspectives in Multiple Criteria Decision Making, Springer Nature Switzerland AG, pp. 133–150, 2019.
  2. R. Mesiar – A. Kolesárová: On Some Recent Construction Methods for Bivariate Copulas, In Information Technology and Computational Physics, Advances in Intelligent Systems and Computing, Editor(s): P. Kulcyzcki, L.T. Kóczy, R. Mesiar, J. Kacprzyk, Springer International Publishing, Switzerland, vol. 462, pp. 243–254, 2017.
  3. A. Kolesárová – A. Stupňanová: Extensions of Capacities, In On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory, Studies in Fuzziness and Soft Computing, Editor(s): S. Saminger-Platz, R. Mesiar, Springer International Publishing Switzerland, vol. 336, pp. 181–198, 2016.
  4. R. Mesiar – A. Kolesárová – M. Komorníková: Aggregation Functions on [0,1], In Handbook of Computational Intelligence, Editor(s): J. Kacprzyk, W. Pedrycz, Springer Verlag Berlin Heidelberg, pp. 61–73, 2015.

Article in journal

  1. G. Beliakov – S. James – A. Kolesárová – R. Mesiar: Cardinality-limiting extended pre-aggregation functions. Information Fusion, vol. 76, pp. 66–74, 2021.
  2. L. Jin – A. Kolesárová – R. Mesiar: Semicopula based integrals. Fuzzy Sets and Systems, vol. 412, pp. 106–119, 2021.
  3. A. Kolesárová – L. Jin – R. Mesiar: Scaled aggregation functions. Information Sciences, vol. 575, pp. 206–216, 2021.
  4. R. Mesiar – A. Kolesárová – S. Borkotokey: 2-set-based extended functions. Iranian Journal of Fuzzy Systems, no. 3, vol. 18, pp. 13–26, 2021.
  5. S. Saminger-Platz – A. Kolesárová – A. Šeliga – R. Mesiar – E. Klement: The impact on the properties of the EFGM copulas when extending this family. Fuzzy Sets and Systems, vol. 415, pp. 1–26, 2021.
  6. A. Šeliga – M. Kauers – S. Saminger-Platz – R. Mesiar – A. Kolesárová – E. Klement: Polynomial bivariate copulas of degree five: characterization and some particular inequalities. Dependence Modeling, no. 13, vol. 9, pp. 13–42, 2021.
  7. H. Bustince – R. Mesiar – A. Kolesárová – G. P. Dimuro – J. Fernandez – I. Diaz – S. Montes: On some classes of directionally monotone functions. Fuzzy Sets and Systems, vol. 386, pp. 161–178, 2020.
  8. R. Mesiar – A. Kolesárová: Copulas and fuzzy implications. International Journal of Approximate Reasoning, vol. 117, pp. 52–59, 2020.
  9. R. Mesiar – A. Kolesárová: Quasi-Copulas, Copulas and Fuzzy Implicators. International Journal of Computational Intelligence Systems, no. 1, vol. 13, pp. 681–689, 2020.
  10. S. Saminger-Platz – A. Kolesárová – R. Mesiar – E. Klement: The key role of convexity in some copula costructions. European Journal of Mathematics, no. 2, vol. 6, pp. 533–560, 2020.
  11. A. Kolesárová – F. Kouchakinejad – R. Mesiar: Additive Aggregation Functions: Generalizations and Modifications of Additivity. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, vol. 27, pp. 39–58, 2019.
  12. A. Kolesárová – S. Massanet – R. Mesiar – J. V. Riera – J. Torrens: Polynomial constructions of fuzzy implication functions: The quadratic case. Information Sciences, vol. 494, pp. 60–79, 2019.
  13. R. Mesiar – A. Kolesárová – D. Gómez – J. Montero: Set-based extended aggregation functions. International Journal of Intelligent Systems, no. 9, vol. 34, pp. 2039–2054, 2019.
  14. M. J. Asiain – H. Bustince – R. Mesiar – A. KolesárováZ. Takáč: Negations With Respect to Admissible Orders in the Interval-Valued Fuzzy Set Theory. IEEE Transactions on Fuzzy Systems, no. 2, vol. 26, pp. 556–568, 2018.
  15. H. Bustince – E. Barrenechea – M. Sesma-Sara – J. Lafuente – G. P. Dimuro – R. Mesiar – A. Kolesárová: Ordered directionally monotone functions: Justification and application. IEEE Transactions on Fuzzy Systems, no. 4, vol. 26, pp. 2237–2250, 2018.
  16. A. Kolesárová – J. Li – R. Mesiar: k-additive aggregation functions and their characterization. European Journal of Operational Research, vol. 265, pp. 985–992, 2018.
  17. R. Mesiar – A. Kolesárová: k-maxitive aggregation functions. Fuzzy Sets and Systems, vol. 346, pp. 127–137, 2018.
  18. R. Mesiar – A. Kolesárová: On the fuzzy set theory and aggregation functions: History and some recent advances. Iranian Journal of Fuzzy Systems, no. 7, vol. 15, pp. 1–12, 2018.
  19. R. Mesiar – A. Kolesárová – H. Bustince – J. Fernandez: Dualities in the class of extended Boolean functions. Fuzzy Sets and Systems, vol. 332, pp. 78–92, 2018.
  20. R. Mesiar – A. Kolesárová – A. Stupňanová: Quo vadis aggregation?. International Journal of General Systems, no. 2, vol. 47, pp. 97–117, 2018.
  21. S. Saminger-Platz – A. Kolesárová – R. Mesiar – E. Klement: A note on a generalized Frank functional equation. Fuzzy Sets and Systems, vol. 335, pp. 48–54, 2018.
  22. E. Klement – A. Kolesárová – R. Mesiar – S. Saminger-Platz: On the role of ultramodularity and Schur concavity in the construction of binary copulas. Journal of Mathematical Inequalities, no. 2, vol. 11, pp. 361–381, 2017.
  23. R. Mesiar – A. Kolesárová: Aggregation and related functions in fuzzy set theory: dualities and monotonicity-based generalizations. Journal of Automation, Mobile Robotics & Intelligent Systems, vol. 3, pp. 58–61, 2017.
  24. L. De Miguel – H. Bustince – J. Fernandez – E. Induráin – A. Kolesárová – R. Mesiar: Construction of admissible linear orders for interval-valued Atanassov intuitionistic fuzzy sets with an application to decision making. Information Fusion, vol. 27, pp. 189–197, 2016.
  25. G. Lucca – J. A. Sanz – G. Pereira-Dimuro – B. Bedregal – R. Mesiar – A. Kolesárová – H. Bustince: Pre-aggregation functions: construction and an application. IEEE Trans. on Fuzzy Systems, no. 2, vol. 24, pp. 260–272, 2016.
  26. R. Mesiar – A. Kolesárová – H. Bustince – G. Pereira-Dimuro – B. Bedregal: Fusion functions based discrete Choquet-like integrals. European Journal of Operational Research, vol. 252, pp. 601–609, 2016.
  27. D. Paternain – H. Bustince – M. Pagola – P. Sussner – A. Kolesárová – R. Mesiar: Capacities and overlap indexes with an application in fuzzy rule-based classification system. Fuzzy Sets and Systems, vol. 326, pp. 70–94, 2016.
  28. H. Bustince – J. Fernandez – A. Kolesárová – R. Mesiar: Directional monotonicity of fusion functions. European Journal of Operational Research, vol. 244, pp. 300–308, 2015.
  29. A. Kolesárová – G. Mayor – R. Mesiar: Quadratic constructions of copulas. Information Sciences, vol. 310, pp. 69–76, 2015.
  30. A. Kolesárová – R. Mesiar: On linear and quadratic constructions of aggregation functions. Fuzzy Sets and Systems, vol. 283, pp. 1–14, 2015.
  31. A. Kolesárová – R. Mesiar – J. Montero: Sequential aggregation of bags. Information Sciences, vol. 310, pp. 305–314, 2015.

Article in conference proceedings

  1. A. Kolesárová – R. Mesiar: Aggregation based on outliers. In Joint Proceedings of the 19th World Congress of IFSA, the 12th Conference of EUSFLAT, and the 11th International Summer School on AGOP. Atlantis Studies in Uncertainty Modelling, Atlantis Press, Dordrecht, vol. 3, pp. 584–588, 2021.
  2. A. Kolesárová – R. Mesiar: A Note on Aggregation of Intuitionistic Values. Editor(s): M.-J. Lesot et al., In 18th Int. Conference IPMU'2020, part of the Communications in Computer and Information Science, vol. 1238, Springer Nature Switzerland AG, pp. 411–418, 2020.
  3. A. Kolesárová – R. Mesiar: Fuzzy implicators related to (quasi-)copulas. Editor(s): M. Štepnička, In Proceedings of the 2019 Conference of the International Fuzzy Association and the European Society for Fuzzy Logic and Technology (EUSFLAT 2019), Atlantis Press, vol. 1, pp. 235–240, 2019.
  4. R. Mesiar – A. Kolesárová: Construction of Fuzzy Implication Functions Based on F-chains. In New Trends in Aggregation Theory, Springer International Publishing, vol. 981, pp. 315–326, 2019.
  5. R. Mesiar – A. Kolesárová: Utility Functions and Constrained Additivity. In 2019 6th International Conference on Control, Decision and Information Technologies (CoDIT), IEEE, pp. 274–278, 2019.
  6. R. Mesiar – A. Kolesárová – A. Šeliga – J. Montero – D. Gómez: Set-based extended functions. Editor(s): V. Torra et al., In Modeling Decisions for Artificial Intelligence, LNAI, Springer Nature Switzerland AG, vol. 11 676, pp. 41–51, 2019.
  7. A. Kolesárová – R. Mesiar – S. Saminger-Platz: Generalized Farlie-Gumbel-Morgenstern copulas. Editor(s): J. Medina et al., In Information Processing and Management of Uncertainty in Knowlwdge-Based Systems. Theory and Foundations, Part I, Communications in Computer and Information Science, Springer, vol. 853, pp. 244–252, 2018.
  8. F. Kouchakinejad – A. Kolesárová – R. Mesiar: On k-oplus-additive Aggregation Functions. Editor(s): V. Torra, I. Aguiló, Y. Narukawa, M. González-Hidalgo, In Modeling Decisions for Artificial Intelligence 15th International Conference, Mallorca, Spain, October 15–18, 2018, Springer Nature Switzerland AG, pp. 27–34, 2018.
  9. R. Mesiar – A. Kolesárová: k-maxitivity of Order-Preserving Homomorphisms of Lattices. Editor(s): V.Torra et al., In Advances in Intelligent Systems and Computing, Springer-Verlag Berlin Heidelberg, vol. 581, pp. 64–70, 2018.
  10. R. Mesiar – A. Kolesárová: Aggregation Functions in Fuzzy Set Theory: History and Some Recent Advances. In Proceedings of the 6th Iranian Joint Congress on Fuzzy and Intelligent Systems, Kerman, Iran, pp. 94–97, 2018.
  11. M. Sesma-Sara – H. Bustince – E. Barrenechea – J. Lafuente – A. Kolesárová – R. Mesiar: Edge Detection Based on Ordered Directionally Monotone Functions. In Advances in Intelligent Systems and Computing, vol. 643, pp. 301–307, 2018.
  12. A. Kolesárová – A. Stupňanová: On some extension methods for normed utility functions. Editor(s): B. De Baets, R. Mesiar, L. Troiano, In Proceedings of the 6th International Summer School on Aggregation Operators, Benevento, Italy, pp. 169–174, 2011.
  13. A. Kolesárová – A. Stupňanová – J. Beganová: On extension of fuzzy measures to aggregation functions. Editor(s): Galichet,S., Montero, J., Mauris,G., In Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology, Atlantis Press, Aix-Les-Bains, France, pp. 28–32, 2011.
  14. A. Stupňanová – A. Kolesárová: Associative n-dimensional aggregation functions. Editor(s): B. De Baets, R. Mesiar, L. Troiano, In Proceedings of the 6th International Summer School on Aggregation Operators, Benevento, Italy, pp. 139–144, 2011.
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