Detail publikačního výsledku

Isomorphic approximations, closure spaces and comparable homeomorphic topologies

STANĚK, D.; CHVALINA, J.

Originální název

Isomorphic approximations, closure spaces and comparable homeomorphic topologies

Anglický název

Isomorphic approximations, closure spaces and comparable homeomorphic topologies

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

Approximation theory based on Pawlak's rough sets uses closure operators determined by stars of subsets in a set partitions formed by an equivalence relation. In the contribution there are presented connections between closure spaces, topological spaces and it is proved that there exist different comparable isomorphic approximation Pawlak's operator on a universat set U as well as different comparable isomorphic closures on U or different comparable homeomorphic topologies in the sense of Bourbaki if and only if the underlying set U is infinite. The obntained result can serves as a criterion of the set infinity.

Anglický abstrakt

Approximation theory based on Pawlak's rough sets uses closure operators determined by stars of subsets in a set partitions formed by an equivalence relation. In the contribution there are presented connections between closure spaces, topological spaces and it is proved that there exist different comparable isomorphic approximation Pawlak's operator on a universat set U as well as different comparable isomorphic closures on U or different comparable homeomorphic topologies in the sense of Bourbaki if and only if the underlying set U is infinite. The obntained result can serves as a criterion of the set infinity.

Klíčová slova

Pawlak approximations, comparability of isomorphic closures and homeomorphic topologies.

Klíčová slova v angličtině

Pawlak approximations, comparability of isomorphic closures and homeomorphic topologies.

Autoři

STANĚK, D.; CHVALINA, J.

Rok RIV

2018

Vydáno

15.06.2017

Nakladatel

Univerzita obrany v Brně

Místo

Brno

ISBN

978-80-7231-417-1

Kniha

MITAV 2017 (Matematika, informační technologie a aplikované vědy)

Strany od

1

Strany do

13

Strany počet

13

URL

http://mitav.unob.cz/

BibTex

@inproceedings{BUT142174,
  author="David {Staněk} and Jan {Chvalina}",
  title="Isomorphic approximations, closure spaces and comparable homeomorphic topologies",
  booktitle="MITAV 2017 (Matematika, informační technologie a aplikované vědy)",
  year="2017",
  number="1",
  pages="1--13",
  publisher="Univerzita obrany v Brně",
  address="Brno",
  isbn="978-80-7231-417-1",
  url="http://mitav.unob.cz/"
}