Publication result detail

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

KŘEHLÍK, Š.; VYROUBALOVÁ, J.

Original Title

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

English Title

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

Type

WoS Article

Original Abstract

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.

English abstract

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.

Keywords

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

Key words in English

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

Authors

KŘEHLÍK, Š.; VYROUBALOVÁ, J.

RIV year

2021

Released

03.01.2020

Publisher

MDPI

Location

BASEL

ISBN

2073-8994

Periodical

Symmetry-Basel

Volume

12

Number

1

State

Swiss Confederation

Pages from

1

Pages to

16

Pages count

16

URL

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

Full text in the Digital Library

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-Basel",
  year="2020",
  volume="12",
  number="1",
  pages="1--16",
  doi="10.3390/sym12010054",
  url="https://www.mdpi.com/2073-8994/12/1/54"
}

Documents

symmetry-12-00054-v2