The Symmetry of Lower and Upper Approximation, Determined by a Cyclic Hypergroup, Applicable in Control Theory

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dc.contributor.authorKřehlík, Štěpáncs
dc.contributor.authorVyroubalová, Janacs
dc.coverage.issue1cs
dc.coverage.volume12cs
dc.date.issued2020-01-03cs
dc.description.abstractIn the first part of our paper, we construct a cyclic hypergroup of matrices using the Ends Lemma. Its properties are then, in the second part of the paper, used to describe the symmetry of lower and upper approximations in certain rough sets with respect to invertible subhypergroups of this cyclic hypergroup. Since our approach is widely used in autonomous robotic systems, we suggest an application of our results for the study of detection sensors, which are used especially in mobile robot mapping.en
dc.formattextcs
dc.format.extent1-16cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationSymmetry. 2020, vol. 12, issue 1, p. 1-16.en
dc.identifier.doi10.3390/sym12010054cs
dc.identifier.issn2073-8994cs
dc.identifier.orcid0000-0001-5328-3735cs
dc.identifier.other163710cs
dc.identifier.researcheridAAQ-1958-2020cs
dc.identifier.scopus57193003993cs
dc.identifier.urihttp://hdl.handle.net/11012/193378
dc.language.isoencs
dc.publisherMDPIcs
dc.relation.ispartofSymmetrycs
dc.relation.urihttps://www.mdpi.com/2073-8994/12/1/54cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2073-8994/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectsingle-power cyclic hypergroupen
dc.subjectinvertible subhypergroupen
dc.subjectlower approximationen
dc.subjectupper approximationen
dc.subjectrough seten
dc.titleThe Symmetry of Lower and Upper Approximation, Determined by a Cyclic Hypergroup, Applicable in Control Theoryen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-163710en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:40:46en
sync.item.modts2025.01.17 15:21:10en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs
thesis.grantorVysoké učení technické v Brně. . Centrum dopravního výzkumucs
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