Position:
Deputy of institute
Head of department
Lecturer
Department:
Department of Mathematics (OM)
Room:
NB 615
eMail:
Phone:
kl. 296
Fax:
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Availability:

Publications

Book

  1. S. Beláková – M. GallZ. Takáč: Foundations of mathematics (in Slovak), Nakladateľstvo STU, 2012.
  2. Z. Takáč: Classification of Proofs (in Slovak), Katolícka univerzita v Ružomberku, 2003.

Chapter or pages in book

  1. Z. Takáč: OWA operators for fuzzy truth values, In Uncertainty Modelling 2015, Editor(s): M. Kalina, T. Bacigál, Jednota slovenských matematikov a fyzikov, Bratislava, pp. 67–73, 2016.
  2. Z. Takáč: On preservation of properties of fuzzy implications and aggregation functions by the best interval representation, In ZAMAT 2014, Proceedings of Applied Mathematics and Informatics, Editor(s): A. Kolesárová, M. Nehéz, pp. 50–58, 2014.
  3. Z. Takáč: Properties of aggregation operators extended via extension principle, In Proceedings of Uncertainty Modelling, Editor(s): R. Mesiar, T. Bacigál, STU Bratislava, pp. 67–71, 2013.

Article in journal

  1. 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.
  2. M. Minárová – D. Paternain – A. Jurio – J. Ruiz-Aranguren – Z. Takáč – H. Bustince: Modifying the gravitational search algorithm: A functional study. Information Sciences, vol. 430-431, pp. 87–103, 2018.
  3. Z. Takáč – M. Minárová – J. Montero – E. Barrenechea – J. Fernandez – H. Bustince: Interval-valued fuzzy strong S-subsethood measures, interval-entropy and P-interval-entropy. Information Sciences, vol. 451-452, pp. 97–115, 2018.
  4. Z. Takáč: Three ways of defining OWA operator on the set of all normal convex fuzzy sets. Tatra Mountains Mathematical Publications, vol. 69, pp. 101–118, 2017.
  5. H. Zapata – H. Bustince – S. Montes – B. Bedregal – G. Dimuro – Z. Takáč – M. Baczyński – J. Fernandez: Interval-valued implications and interval-valued strong equality index with admissible orders. International Journal of Approximate Reasoning, vol. 88, pp. 91–109, 2017.
  6. Z. Takáč: Subsethood measures for interval-valued fuzzy sets based on the aggregation of interval fuzzy implications. Fuzzy Sets and Systems, vol. 283, pp. 120–139, 2016.
  7. Z. Takáč: OWA operator for discrete gradual intervals: implications to fuzzy intervals and multi-expert decision making. Kybernetika, no. 3, vol. 52, pp. 379–402, 2016.
  8. Z. Takáč: On algebraic properties and linearity of OWA operators for fuzzy sets. Tatra Mountains Mathematical Publications, no. 2, vol. 66, pp. 137–149, 2016.
  9. V. Kleňová – Z. Takáč: Condicio supervacua and related conditions in Roman law. Tijdschrift voor Rechtsgeschiedenis, no. 1-2, vol. 83, pp. 77–106, 2015.
  10. Z. Takáč: Aggregation of fuzzy truth values. Information Sciences, vol. 271, pp. 1–13, 2014.
  11. Z. Takáč: On some properties of alpha -planes of type-2 fuzzy sets. Kybernetika, no. 1, vol. 49, pp. 149–163, 2013.
  12. Z. Takáč: Inclusion and subsethood measure for interval-valued fuzzy sets and for continuous type-2 fuzzy sets. Fuzzy Sets and Systems, vol. 224, pp. 106–120, 2013.
  13. Z. Takáč: Representation theorem for type-2 fuzzy sets via (alpha1,alpha2)-double cuts. Revue Internationale des Sciences humaines et naturelles, no. 3, pp. 85–98, 2013.
  14. Z. Takáč: A new representation for type-2 fuzzy sets by (alpha1,alpha2)-double cuts. Revue Internationale des Sciences humaines et naturelles, no. 2, pp. 123–135, 2013.
  15. Z. Takáč: On generalizations of fuzzy sets (in Slovak). Obzory matematiky, fyziky a informatiky, no. 1, vol. 41, pp. 23–37, 2012.
  16. Z. Takáč: MRP Tasks, Critical Thinking and Intrinsic Motivation to Proving. Teaching Mathematics and Computer Science, no. 1, vol. 8, pp. 149–168, 2010.
  17. Z. Takáč: How to Change Students’ (Grade 6) View of the Proof?. Usta ad Albim BOHEMICA, no. 1, vol. X, pp. 91–96, 2010.
  18. Z. Takáč: On the motivation to reasoning and proving in mathematics (in Czech). Pokroky matematiky, fyziky a astronómie, no. 3, vol. 54, pp. 243–251, 2009.
  19. Z. Takáč: Quantifiers in the proof. Scientific Bulletin of Chelm, no. 1, pp. 197–204, 2007.
  20. Z. Takáč: On the proof by contradiction (in Slovak). Matematika Informatika Fyzika, no. 31, vol. XVI, pp. 68–73, 2007.
  21. Z. Takáč: Investigation of the Mathematical Induction (in Slovak). Matematika Informatika Fyzika, no. 26, vol. XIV, pp. 126–131, 2005.

Article in conference proceedings

  1. Ľ. HoranskáZ. Takáč: Characterization of k-Choquet integrals. Editor(s): Radko Mesiar, Susanne Saminger-Platz, Peter Struk, In Abstracts of the Fourteenth International Conference on Fuzzy Set Theory and Applications, Printing House of the Armed Forces Academy of General M. R. Štefánik in Liptovský Mikuláš, pp. 49–49, 2018.
  2. Ľ. HoranskáZ. Takáč: Relations between classes of k-Choquet integrals. Editor(s): Miroslav Hrubý, Pavlína Račková, In Matematika, informační technologie a aplikované vedy (MITAV 2018), Univerzita obrany v Brne, pp. 33–34, 2018.
  3. D. Paternain – A. Jurio – J. Ruiz-Aranguren – M. Minárová – Z. Takáč – H. Bustince: Optimized fuzzy transform for image compression. In Advances in Intelligent Systems and Computing, vol. 643, pp. 118–128, 2018.
  4. Z. Takáč – M. Minárová – L. De Miguel – J. Fernandez – H. Bustince: Interval-valued entropies and p-entropies. Editor(s): Radko Mesiar, Susanne Saminger-Platz, Peter Struk, In Abstracts of the Fourteenth International Conference on Fuzzy Set Theory and Applications, Printing House of the Armed Forces Academy of General M. R. Štefánik in Liptovský Mikuláš, pp. 97–98, 2018.
  5. J. Drgoňa – Z. Takáč – M. Horňák – R. ValoM. Kvasnica: Fuzzy Control of a Laboratory Binary Distillation Column. Editor(s): M. Fikar and M. Kvasnica, In Proceedings of the 21st International Conference on Process Control, Slovak Chemical Library, Štrbské Pleso, Slovakia, pp. 120–125, 2017.
  6. M. J. Asiain – H. Bustince – B. Bedregal – Z. Takáč – M. Baczyński – D. Paternain – G. Dimuro: About the Use of Admissible Order for Defining Implication Operators. Editor(s): P.J. Carvalho, M.J. Lesot, U. Kaymak, S. Vieira, B. Bouchon-Meunier, R.R. Yager, In Information Processing and Management of Uncertainty in Knowledge-Based Systems: 16th International Conference, IPMU 2016, Eindhoven, The Netherlands, June 20-24, 2016, Proceedings, Part I, Springer International Publishing, pp. 353–362, 2016.
  7. Z. Takáč: Avoiding the Lack of a Linear Order in Definition of OWA Operator. Editor(s): P. Kulczycki, P.A. Kowalski, S. Lukasik, In Proceedings of The Congress of Information Technology, Computational and Experimental Physics (CITCEP 2015), pp. 21–26, 2016.
  8. Z. Takáč: Comparative study of OWA operators for fuzzy sets. Editor(s): R. Mesiar, S. Saminger-Platz, P. Struk, In Abstracts of the Thirteenth International Conference on Fuzzy Set Theory and Applications (FSTA 2016), Printing House of the Armed Forces Academy of General M. R. Štefánik in Liptovský Mikuláš, pp. 98–99, 2016.
  9. Z. Takáč: A linear order and OWA operator for discrete gradual real numbers. Editor(s): José M. Alonso, Humberto Bustince, Marek Reformat, In Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology, Atlantis Press, pp. 260–266, 2015.
  10. Z. Takáč: Type-2 aggregation operators. Editor(s): G. Pasi, J. Montero, D. Ciucci, In Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology, Atlantis Press, pp. 165–170, 2013.
  11. Z. Takáč: On subsethood measure of type-2 fuzzy sets. Editor(s): E.P. Klement et al., In Abstracts of the 11th Int. Conference on Fuzzy Set Theory and Applications, Printing House of the Armed Forces Academy of gen. M.R. Štefánik, Lipt. Mikuláš, pp. 103–104, 2012.
  12. Z. Takáč: Intersection and union of type-2 fuzzy sets and connection to (α1,α2)-double cuts. Editor(s): Galichet, Sylvie / Montero, Javier / Mauris, Gilles, In Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011) and LFA-2011, pp. 1052–1059, 2011.
  13. Z. Takáč: Influence of MRP Tasks on Students' Willingness to Reasoning and Proving. Editor(s): Fou-Lai Lin, Feng-Jui Hsieh, Gila Hanna, Michael de Villiers, In Proceedings of the ICMI Study 19 conference: Proof and Proving in Mathematics Education, Taipei, Taiwan, pp. 202–207, 2009.
  14. Z. Takáč: The proof method "such that". Editor(s): Billich, M., Papčo, M., Takáč, Z., In MATHEMATICA II, Proceedings of the XVth Slovak-Czech-Polish Mathematical School, Ružomberok, pp. 65–72, 2008.
  15. Z. Takáč – J. Gunčaga – M. Lalinská: Further Education of Teachers at Catholic University in Ruzomberok (in Czech). In Proceedings of the Experience in Further Education of Teachers in Mathematics, Ostrava, pp. 27–31, 2008.
  16. Z. Takáč: On the Definitions (in Slovak). Editor(s): Gunčaga, J., Takáč, Z., In Matematika v škole dnes a zajtra, zborník príspevkov z konferencie, Ružomberok, 2007.
  17. Z. Takáč: Liar Paradox (in Slovak). Editor(s): Gunčaga, J., Takáč, Z., In Matematika v škole dnes a zajtra, zborník príspevkov z konferencie, Ružomberok, pp. 265–269, 2006.
  18. Z. Takáč: The definition in the mathematical theories. Editor(s): Jiří Cihlář, Jan Melichar, In Proceedings of the XIIth Czech-Polish-Slovak Mathematical School, Hluboš, pp. 63–66, 2005.
  19. Z. Takáč: The method of subsidiary constant. Editor(s): Takáč, Z., In MATHEMATICA, Proceedings of the XIth Slovak-Czech-Polish Mathematical School, Ružomberok, pp. 68, 2004.
  20. Z. Takáč: Mathematical Induction and Education (in Slovak). Editor(s): Gunčaga, J., Takáč, Z., In Matematika v škole dnes a zajtra, zborník príspevkov z konferencie, Ružomberok, pp. 72–77, 2004.

Article in collection

  1. Z. Takáč – M. Trenkler: On the magic square IXOHOXI (in Slovak). In Zbornik prednášok z tyždňa európskej vedy 2005, pp. 18–23, 2006.
  2. Z. Takáč: On One Unconventional Proof (in Slovak). In Zbornik prednášok z tyždňa európskej vedy 2004, pp. 62–67, 2004.
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