Geodesic
A principal topology obtained from uninorms
Kybernetika, Tome 58 (2022) no. 6, pp. 863-882 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We obtain a principal topology and some related results. We also give some hints of possible applications. Some mathematical systems are both lattice and topological space. We show that a topology defined on the any bounded lattice is definable in terms of uninorms. Also, we see that these topologies satisfy the condition of the principal topology. These topologies can not be metrizable except for the discrete metric case. We show an equivalence relation on the class of uninorms on a bounded lattice based on equality of the topologies induced by uninorms.
We obtain a principal topology and some related results. We also give some hints of possible applications. Some mathematical systems are both lattice and topological space. We show that a topology defined on the any bounded lattice is definable in terms of uninorms. Also, we see that these topologies satisfy the condition of the principal topology. These topologies can not be metrizable except for the discrete metric case. We show an equivalence relation on the class of uninorms on a bounded lattice based on equality of the topologies induced by uninorms.
DOI : 10.14736/kyb-2022-6-0863
Classification : 03B52, 03E72, 06B30, 06F30, 08A72, 54A10
Keywords: uninorm; closure operator; principal topology; bounded lattice 
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     title = {A principal topology obtained from uninorms},
     journal = {Kybernetika},
     pages = {863--882},
     year = {2022},
     volume = {58},
     number = {6},
     doi = {10.14736/kyb-2022-6-0863},
     mrnumber = {4548220},
     zbl = {07655863},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2022-6-0863/}
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Karaçal, Funda; Köroğlu, Tuncay. A principal topology obtained from uninorms. Kybernetika, Tome 58 (2022) no. 6, pp. 863-882. doi: 10.14736/kyb-2022-6-0863

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