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Fuzzy Weak Filters of Sheffer Stroke Hilbert Algebras
- Borzooei, Rajab Ali;
- Rezaei, Gholam Reza;
- Jun, Young Bae
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4초록
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.
키워드
(fuzzy) weak filter; (∈, ∈ νq)-fuzzy weak filter; Q<sub>t</sub>-set; Sheffer stroke Hilbert algebra; t-level set; t-∈ Vq-set
- 제목
- Fuzzy Weak Filters of Sheffer Stroke Hilbert Algebras
- 저자
- Borzooei, Rajab Ali; Rezaei, Gholam Reza; Jun, Young Bae
- 발행일
- 2023-09
- 유형
- Article
- 저널명
- Annales Mathematicae Silesianae
- 권
- 37
- 호
- 2
- 페이지
- 185 ~ 203