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Fuzzy Weak Filters of Sheffer Stroke Hilbert Algebrasopen access
- Issue Date
- Sep-2023
- Publisher
- University of Silesia in Katowice, Institute of Mathematics | De Gruyter Open
- 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, v.37, no.2, pp 185 - 203
- Pages
- 19
- Indexed
- SCOPUS
ESCI
- Journal Title
- Annales Mathematicae Silesianae
- Volume
- 37
- Number
- 2
- Start Page
- 185
- End Page
- 203
- 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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