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RNDr.
Ph.D.
FEEC, UMAT – Assistant professor
+420 54114 6051krehliks@vut.cz
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2022
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, p. 161-178. ISSN: 1224-1784.Detail | WWW | Full text in the Digital Library
2021
KŘEHLÍK, Š.; NOVÁK, M.; VYROUBALOVÁ, J. From Automata to Multiautomata via Theory of Hypercompositional Structures. Mathematics, 2021, vol. 10, no. 1, p. 1-16. ISSN: 2227-7390.Detail | WWW | Full text in the Digital Library
2020
KŘEHLÍK, Š.; VYROUBALOVÁ, J. The Symmetry of Lower and Upper Approximation, Determined by a Cyclic Hypergroup, Applicable in Control Theory. Symmetry, 2020, vol. 12, no. 1, p. 1-16. ISSN: 2073-8994.Detail | WWW | Full text in the Digital Library
NOVÁK, M.; KŘEHLÍK, Š.; STANĚK, D. n-ary Cartesian composition of automata. SOFT COMPUTING, 2020, vol. 24, no. 3, p. 1837-1849. ISSN: 1432-7643.Detail | WWW
NOVÁK, M.; KŘEHLÍK, Š. Modified product of automata as a better tool for description of real-life systems. In International Conference on Numerical Analysis and Applied Mathematics ICNAAM 2019. AIP Conference Proceedings. AIP Conference Proceedings. AIP Publishing, 2020. p. 1-4. ISBN: 978-0-7354-4025-8. ISSN: 1551-7616.Detail | WWW
2019
NOVÁK, M.; KŘEHLÍK, Š.; OVALIADIS, K. Elements of Hyperstructure Theory in UWSN Design and Data Aggregation. Symmetry, 2019, vol. 11, no. 6, p. 1-16. ISSN: 2073-8994.Detail | WWW | Full text in the Digital Library
NOVÁK, M.; CHVALINA, J.; KŘEHLÍK, Š. Hyperstructure generalizations of quasi-automata induced by modelling functions and signal processing. In International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2018). AIP conference proceedings. 2019. p. 340006-1 (340006-4 p.)ISBN: 978-0-7354-1854-7. ISSN: 0094-243X.Detail | WWW
2018
NOVÁK, M.; KŘEHLÍK, Š.; CRISTEA, I. Cyclicity in EL-hypergroups. Symmetry, 2018, vol. 10, no. 11, p. 1-13. ISSN: 2073-8994.Detail | WWW | Full text in the Digital Library
NOVÁK, M.; KŘEHLÍK, Š. EL-hyperstructures revisited. SOFT COMPUTING, 2018, vol. 2018, no. 21, p. 7269-7680. ISSN: 1432-7643.Detail | WWW
NOVÁK, M.; OVALIADIS, K.; KŘEHLÍK, Š. A hyperstructure model of underwater wireless sensor network (UWSN) design. In International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2017). AIP conference proceedings. 1978. Thessaloniki, Greece: American Institute of Physics, 2018. p. 340006-1 (340006-4 p.)ISBN: 978-0-7354-1690-1. ISSN: 0094-243X.Detail | WWW
2017
NOVÁK, M.; CRISTEA, I.; KŘEHLÍK, Š. A class of hyperlattices induced by quasi-ordered semigroups. In 16th Conference on Applied Mathematics (APLIMAT 2017), Proceedings. Bratislava: Slovak University of Technology in Bratislava, 2017. p. 1124-1135. ISBN: 9788022746502.Detail | WWW
2016
CHVALINA, J.; KŘEHLÍK, Š.; NOVÁK, M. Cartesian composition and the problem of generalizing the MAC condition to quasi-multiautomata. Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica, 2016, vol. XXIV, no. 3, p. 79-100. ISSN: 1224-1784.Detail | WWW
NOVÁK, M.; KŘEHLÍK, Š. Several aspects of generalizing one construction of hyperstructures from quasi- ordered semigroups. International journal of algebraic hyperstructures and its applications, 2016, vol. 2 (2015), no. 1, p. 113-124. ISSN: 2383-2851.Detail
KŘEHLÍK, Š.; NOVÁK, M. From lattices to H_v - matrices. Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica, 2016, vol. XXIV, no. 3, p. 209-222. ISSN: 1224-1784.Detail | WWW
CHVALINA, J.; KŘEHLÍK, Š.; NOVÁK, M. Homomorphisms of EL- hyperstructures based on a certain classical transformation. International journal of algebraic hyperstructures and its applications, 2016, vol. 2(2015), no. 1, p. 101-112. ISSN: 2383-2851.Detail
2014
KŘEHLÍK, Š. Vlastnosti kvazi- multiautomatů tvořených hypergrupou lineárních diferenciálních operátorů v Jacobiho tvaru. South Bohemia Mathematical Letters, 2014, vol. 2014, no. 1, p. 1-9. ISSN: 1804- 1450.Detail
CHVALINA, J.; KŘEHLÍK, Š.; SVOBODA, Z.; VÍTOVEC, J. Matematika 2 (Biomedicínská technika a bioinformatika). Brno: Vysoké učení technické v Brně, 2014. p. 1-233. Detail
KŘEHLÍK, Š. Hypergroups of Differential Operators Motivated by a Function Describing a Certain General System. In XXXII International Colloquium on the Management of Educational Process. 2014. p. 93-98. ISBN: 978-80-7231-957- 2.Detail
CHVALINA, J.; KŘEHLÍK, Š.; NOVÁK, M. Homomorphisms of EL-hyperstructures on a certain clasical transformation. In 12th AHA Conference. Xanthi: 2014. p. 55-60. ISBN: 978-80-558-0613- 6.Detail
KŘEHLÍK, Š. Relations between hypergroups of linear differential operators in the Jacobi form. In STUDENT EEICT. 2014. p. 155-159. ISBN: 978-80-214-4924- 4.Detail
2013
KŘEHLÍK, Š. QUASI–MULTIAUTOMATA FORMED BY CONTINUOUS FUNCTIONS AND BY SECOND- ORDER LINEAR DIFFERENTIAL OPERATORS IN THE JACOBI FORM. In STUDENT EEICT. Tábor 43a, 61200 Brno: LITERA, 2013. p. 149-153. ISBN: 978-80-214-4695- 3.Detail
CHVALINA, J.; KŘEHLÍK, Š. Compactness of intervals of real numbers and the invertibility of certain hyperstructures. In XXXI International Colloquium on the Management of educational Process. Brno: Univerzita Obrany, 2013. p. 61-69. ISBN: 978-80-7231-924- 4.Detail
2012
KŘEHLÍK, Š.; CHVALINA, J.; NOVÁK, M. Modelling of non- periodic impulses and the Mellin integral transformation. In XXX International Colloquium on the Management of Educational Process. Brno: Univerzita obrany, 2012. p. 1-4. ISBN: 978-80-7231-865- 0.Detail
KŘEHLÍK, Š. Hypergroups of second-order differential operators in the Jacobi form and multi- quasiautomata. In STUDENT EEICT - proceedings of the 18th conference, volume 3. Brno: LITERA, Brno, 2012. p. 268-272. ISBN: 978-80-214-4462- 1.Detail
CHVALINA, J.; KŘEHLÍK, Š. Normal subhypergroups of hypergroups of ordinary linear second- order differential operators. South Bohemia Mathematical Letters, 2012, vol. 2012, no. 1, p. 1-9. ISSN: 1804- 1450.Detail
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