Generating methods for principal topologies on bounded lattices

Funda Karaçal; Ümit Ertuğrul; M. Nesibe Kesicioğlu

Kybernetika (2021)

  • Volume: 57, Issue: 4, page 714-736
  • ISSN: 0023-5954

Abstract

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In this paper, some generating methods for principal topology are introduced by means of some logical operators such as uninorms and triangular norms and their properties are investigated. Defining a pre-order obtained from the closure operator, the properties of the pre-order are studied.

How to cite

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Karaçal, Funda, Ertuğrul, Ümit, and Kesicioğlu, M. Nesibe. "Generating methods for principal topologies on bounded lattices." Kybernetika 57.4 (2021): 714-736. <http://eudml.org/doc/297906>.

@article{Karaçal2021,
abstract = {In this paper, some generating methods for principal topology are introduced by means of some logical operators such as uninorms and triangular norms and their properties are investigated. Defining a pre-order obtained from the closure operator, the properties of the pre-order are studied.},
author = {Karaçal, Funda, Ertuğrul, Ümit, Kesicioğlu, M. Nesibe},
journal = {Kybernetika},
keywords = {principal topology; bounded lattice; generating method; uninorm; triangular norm},
language = {eng},
number = {4},
pages = {714-736},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Generating methods for principal topologies on bounded lattices},
url = {http://eudml.org/doc/297906},
volume = {57},
year = {2021},
}

TY - JOUR
AU - Karaçal, Funda
AU - Ertuğrul, Ümit
AU - Kesicioğlu, M. Nesibe
TI - Generating methods for principal topologies on bounded lattices
JO - Kybernetika
PY - 2021
PB - Institute of Information Theory and Automation AS CR
VL - 57
IS - 4
SP - 714
EP - 736
AB - In this paper, some generating methods for principal topology are introduced by means of some logical operators such as uninorms and triangular norms and their properties are investigated. Defining a pre-order obtained from the closure operator, the properties of the pre-order are studied.
LA - eng
KW - principal topology; bounded lattice; generating method; uninorm; triangular norm
UR - http://eudml.org/doc/297906
ER -

References

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