Groupleader
Main research areas
- Study of algebraic structures and hyperstructures.
- Study of fuzzy sets and rough sets.
Main practical research results
- Application of algebraic theory of hyperstructures, generalized theory of automata and rough sets in tasks of collective robotics and reconnaissance of unknown terrain.
- New constructions of fuzzy logic connectives.
- Investigation of fuzzy logic connectives on bounded lattices
Main research publications
- KŘEHLÍK, Š.; NOVÁK, M.; BOLAT, M. Properties of n-ary hypergroups relevant for modelling trajectories in HD maps. Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica, 2022, Vol. 30, No. 2, 161-178.
- HLINĚNÁ, D.; KALINA, M. A new construction for t-norms and their application to an open problem of Alsina, Frank and Schweizer. Fuzzy Sets and Systems, 2022, Vol. 28, No. 451, 16-27.
- KŘEHLÍK, Š.; NOVÁK, M.; VYROUBALOVÁ, J. From Automata to Multiautomata via Theory of Hypercompositional Structures. Mathematics, 2021, Vol. 10, No. 1, 1-16.
- HLINĚNÁ, D.; KALINA, M. Characterization of uninorms on bounded lattices and pre-order they induce. International Journal of Computational Intelligence Systems, 2021, Vol. 14, No. 1, 148-158.
- NOVÁK, M.; KŘEHLÍK, Š.; STANĚK, D. n-ary Cartesian composition of automata. SOFT COMPUTING, 2020, Vol. 24, No. 3, 1837-1849.
