Generating methods for principal topologies on bounded lattices
Kybernetika, Tome 57 (2021) no. 4, pp. 714-736
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
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.
DOI :
10.14736/kyb-2021-4-0714
Classification :
03B52, 03E72, 06B30, 06F30, 08A72, 54A10
Keywords: principal topology; bounded lattice; generating method; uninorm; triangular norm
Keywords: principal topology; bounded lattice; generating method; uninorm; triangular norm
@article{10_14736_kyb_2021_4_0714,
author = {Kara\c{c}al, Funda and Ertu\u{g}rul, \"Umit and Kesicio\u{g}lu, M. Nesibe},
title = {Generating methods for principal topologies on bounded lattices},
journal = {Kybernetika},
pages = {714--736},
publisher = {mathdoc},
volume = {57},
number = {4},
year = {2021},
doi = {10.14736/kyb-2021-4-0714},
mrnumber = {4332889},
zbl = {07478636},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-4-0714/}
}
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 SP - 714 EP - 736 VL - 57 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-4-0714/ DO - 10.14736/kyb-2021-4-0714 LA - en ID - 10_14736_kyb_2021_4_0714 ER -
%0 Journal Article %A Karaçal, Funda %A Ertuğrul, Ümit %A Kesicioğlu, M. Nesibe %T Generating methods for principal topologies on bounded lattices %J Kybernetika %D 2021 %P 714-736 %V 57 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-4-0714/ %R 10.14736/kyb-2021-4-0714 %G en %F 10_14736_kyb_2021_4_0714
Karaçal, Funda; Ertuğrul, Ümit; Kesicioğlu, M. Nesibe. Generating methods for principal topologies on bounded lattices. Kybernetika, Tome 57 (2021) no. 4, pp. 714-736. doi: 10.14736/kyb-2021-4-0714
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