Detail publikace

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

KŘEHLÍK, Š. VYROUBALOVÁ, J.

Originální název

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

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

In 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.

Klíčová slova

single-power cyclic hypergroup; invertible subhypergroup; lower approximation; upper approximation; rough set

Autoři

KŘEHLÍK, Š.; VYROUBALOVÁ, J.

Vydáno

3. 1. 2020

Nakladatel

MDPI

Místo

BASEL

ISSN

2073-8994

Periodikum

Symmetry

Ročník

12

Číslo

1

Stát

Švýcarská konfederace

Strany od

1

Strany do

16

Strany počet

16

URL

https://www.mdpi.com/2073-8994/12/1/54

Plný text v Digitální knihovně

http://hdl.handle.net/11012/193378

BibTex

@article{BUT163710,
  author="Štěpán {Křehlík} and Jana {Vyroubalová}",
  title="The Symmetry of Lower  and Upper Approximation, Determined by a Cyclic Hypergroup, Applicable in Control Theory",
  journal="Symmetry",
  year="2020",
  volume="12",
  number="1",
  pages="1--16",
  doi="10.3390/sym12010054",
  issn="2073-8994",
  url="https://www.mdpi.com/2073-8994/12/1/54"
}