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Fuzzy Weak Filters of Sheffer Stroke Hilbert Algebrasopen access

Authors
Borzooei, Rajab AliRezaei, Gholam RezaJun, Young Bae
Issue Date
Jul-2023
Publisher
Sciendo
Keywords
(fuzzy) weak filter; (∈, ∈ νq)-fuzzy weak filter; Q<sub>t</sub>-set; Sheffer stroke Hilbert algebra; t-level set; t-∈ Vq-set
Citation
Annales Mathematicae Silesianae
Indexed
SCOPUS
ESCI
Journal Title
Annales Mathematicae Silesianae
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/68741
DOI
10.2478/amsil-2023-0010
ISSN
0860-2107
2391-4238
Abstract
The (fuzzy) filter of the Sheffer stroke Hilbert algebra was addressed by Oner, Katican and Borumand Saeid. The weak version of the filter was discussed by Jun and Oner. In this manuscipt, with the fuzzy version of the weak filter in mind, the notions of fuzzy weak filters and (∈, ∈ νq)-fuzzy weak filters are introduced, and their properties are explored. Conditions under which t-level set, Qt-set and t-∈ νq-set become weak filters are explored in relation to fuzzy weak filters and (∈, ∈ νq)-fuzzy weak filters. The relationship and characterization of the fuzzy weak filter and the (∈, ∈ νq)-fuzzy weak filter are investigated. © 2023 Rajab Ali Borzooei et al.
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