e-mail: antonin.dvorak AT osu.cz
Phone: ++420-59-709-1406
Position:
- Senior researcher at IRAFM
- Deputy Director for Strategy and Management, Statutory Deputy Director
Education:
- M.Sc. (Ing.) in Technical Cybernetics, Brno University of Technology, Brno, 1993
- Ph.D. in Applied Mathematics, University of Ostrava, Ostrava, 2004
- Assoc. Prof. (doc.) in Applied Mathematics, University of Ostrava, Ostrava, 2014
Author or co-author of more than 50 publications on fuzzy logic, generalized quantifiers, data mining, etc.
Selected publications:
Book:
- Novak, V., Perfilieva, I., Dvorak, A., Insight into Fuzzy Modeling. John Wiley & Sons, Hoboken, New Jersey, 2016. DOI: 10.1002/9781119193210. ISBN: 978-1-119-19318-0.
- Dvorak, A., Holcapek, M., Paseka, J. On ordinal sums of partially ordered monoids: A unified approach to ordinal sum constructions of t-norms, t-conorms and uninorms. Fuzzy Sets and Systems 2022, in press. DOI: 10.1016/j.fss.2021.04.008. ISSN 0165-0114.
- Dvorak, A., Holcapek, M., Fuzzy quantifiers defined over fuzzy domains. Fuzzy Sets and Systems 431 (2022), 39-69. DOI: 10.1016/j.fss.2020.12.012. ISSN 0165-0114.
- Behounek, L., Dvorak, Fuzzy relational modalities admitting truth-valueless propositions. Fuzzy Sets and Systems 388 (2020), 38-55. DOI: 10.1016/j.fss.2019.08.001. ISSN 0165-0114.
- Dvorak, A., Holcapek, M., New construction of an ordinal sum of t-norms and t-conorms on bounded lattices. Information Sciences 515 (2020), 116-131. DOI: 10.1016/j.ins.2019.12.003. ISSN 0020-0255.
- Dvorak, A., Stepnicka, M., Stepnickova, L., On redundancies in systems of fuzzy/linguistic IF–THEN rules under perception-based logical deduction inference. Fuzzy Sets and Systems 277 (2015), 22-43. DOI: 10.1016/j.fss.2014.10.002. ISSN 0165-0114.
- Dvorak, A., Holcapek, M., Type <1, 1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part I: Basic Definitions and Examples. Fuzzy Sets and Systems 244 (2014), 31-55. DOI: 10.1016/j.fss.2013.10.003. ISSN 0165-0114.
- Dvorak, A., Holcapek, M., Fuzzy measures and integrals defined on algebras of fuzzy subsets over complete residuated lattices. Information Sciences 185 (2012), 205-229. doi:10.1016/j.ins.2011.08.017. ISSN 0020-0255.
- Stepnicka, M., Dvorak, A., Pavliska, V., Stepnickova, L., A linguistic approach to time series modeling with the help of F-transform. Fuzzy Sets and Systems 180 (2011), 164-184. doi:10.1016/j.fss.2011.02.017. ISSN 0165-0114.
- Perfilieva, I., Novak, V., Dvorak, A., Fuzzy transform in the analysis of data. International Journal of Approximate Reasoning 48 (2008), 36-46. DOI: 10.1016/j.ijar.2007.06.003. ISSN 0888-613X.
Main topics of interest:
- mathematical fuzzy logic
- fuzzy inference systems
- generalized and fuzzy quantifiers
- aggregation operators on ordered structures
Personal interests:
- theatre
- photography
- literature
- railways
