Groupleader
Main research areas
- Study of algebraic structures and hyperstructures.
- Study of fuzzy sets and rough sets.
- Study of topological structures.
Main practical research results
- Designing a mathematical model for collecting data in underwater wireless sensor networks.
- Application of algebraic theory of hyperstructures, generalized theory of automata and rough sets in tasks of collective robotics and reconnaissance of unknown terrain.
- Description of a special type of algebraic function dependencies motivated by the kriging technique for establishing certain variables in weather forecasting.
Main research publications
- M. Novák. Š. Křehlík, D. Staněk, n-Ary Cartesian Composition of Automata
- M. Novák, Š. Křehlík, K. Ovaliadis, Elements of Hyperstructure Theory in UWSN Design and Data Aggregation
- M. Novák, Š. Křehlík, EL-hyperstructures Revisited
- I. Cristea, J. Kocijan, M. Novák, Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures
- J. Chvalina, Š. Křehlík, M. Novák, Cartesian Composition and the Problem of Generalizing the MAC Condition to Quasi-Multiautomata
- D. Hliněná, M. Kalina, A Characterization of Uninorms by Means of a Pre-order They Induce
- M. Kovár, A. Chernikava, On the Proof of the Existence of Undominated Strategies in Normal Form Games