Fuzzy Weak Filters of Sheffer Stroke Hilbert Algebras
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 (∈, ∈ ∨q)-fuzzy weak f...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Sciendo
2023-09-01
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| Series: | Annales Mathematicae Silesianae |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/amsil-2023-0010 |
| _version_ | 1797674854628982784 |
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| author | Borzooei Rajab Ali Rezaei Gholam Reza Jun Young Bae |
| author_facet | Borzooei Rajab Ali Rezaei Gholam Reza Jun Young Bae |
| author_sort | Borzooei Rajab Ali |
| collection | DOAJ |
| description | 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 (∈, ∈ ∨q)-fuzzy weak filters are introduced, and their properties are explored. Conditions under which t-level set, Qt-set and t-∈ ∨q-set become weak filters are explored in relation to fuzzy weak filters and (∈, ∈ ∨q)-fuzzy weak filters. The relationship and characterization of the fuzzy weak filter and the (∈, ∈ ∨q)-fuzzy weak filter are investigated. |
| first_indexed | 2024-03-11T22:06:08Z |
| format | Article |
| id | doaj.art-b06259afc68444dc80c830f6b7b08bfd |
| institution | Directory Open Access Journal |
| issn | 2391-4238 |
| language | English |
| last_indexed | 2024-03-11T22:06:08Z |
| publishDate | 2023-09-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annales Mathematicae Silesianae |
| spelling | doaj.art-b06259afc68444dc80c830f6b7b08bfd2023-09-25T06:06:48ZengSciendoAnnales Mathematicae Silesianae2391-42382023-09-0137218520310.2478/amsil-2023-0010Fuzzy Weak Filters of Sheffer Stroke Hilbert AlgebrasBorzooei Rajab Ali0Rezaei Gholam Reza1Jun Young Bae21Department of Mathematics, Shahid Beheshti University, Tehran1983963113, Iran2Department of Mathematics, University of Sistan and Baluchestan, Zahedan98131, Iran3Department of Mathematics Education, Gyeongsang National University, Jinju52828, KoreaThe (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 (∈, ∈ ∨q)-fuzzy weak filters are introduced, and their properties are explored. Conditions under which t-level set, Qt-set and t-∈ ∨q-set become weak filters are explored in relation to fuzzy weak filters and (∈, ∈ ∨q)-fuzzy weak filters. The relationship and characterization of the fuzzy weak filter and the (∈, ∈ ∨q)-fuzzy weak filter are investigated.https://doi.org/10.2478/amsil-2023-0010sheffer stroke hilbert algebra(fuzzy) weak filter(∈, ∈ vq)-fuzzy weak filtert-level setqt-sett-∈ vq-set03b0503g2506f3508a72 |
| spellingShingle | Borzooei Rajab Ali Rezaei Gholam Reza Jun Young Bae Fuzzy Weak Filters of Sheffer Stroke Hilbert Algebras Annales Mathematicae Silesianae sheffer stroke hilbert algebra (fuzzy) weak filter (∈, ∈ vq)-fuzzy weak filter t-level set qt-set t-∈ vq-set 03b05 03g25 06f35 08a72 |
| title | Fuzzy Weak Filters of Sheffer Stroke Hilbert Algebras |
| title_full | Fuzzy Weak Filters of Sheffer Stroke Hilbert Algebras |
| title_fullStr | Fuzzy Weak Filters of Sheffer Stroke Hilbert Algebras |
| title_full_unstemmed | Fuzzy Weak Filters of Sheffer Stroke Hilbert Algebras |
| title_short | Fuzzy Weak Filters of Sheffer Stroke Hilbert Algebras |
| title_sort | fuzzy weak filters of sheffer stroke hilbert algebras |
| topic | sheffer stroke hilbert algebra (fuzzy) weak filter (∈, ∈ vq)-fuzzy weak filter t-level set qt-set t-∈ vq-set 03b05 03g25 06f35 08a72 |
| url | https://doi.org/10.2478/amsil-2023-0010 |
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