<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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 (<italic>∈, ∈ ∨q</italic>)-fuzzy weak filters are introduced, and their properties are explored. Conditions under which <italic>t</italic>-level set, <italic>Q</italic><sub>t</sub>-set and <italic>t</italic>-<italic>∈ ∨q</italic>-set become weak filters are explored in relation to fuzzy weak filters and (<italic>∈, ∈ ∨q</italic>)-fuzzy weak filters. The relationship and characterization of the fuzzy weak filter and the (<italic>∈, ∈ ∨q</italic>)-fuzzy weak filter are investigated.</p>
</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 (∈, ∈ ∨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.

Fuzzy Weak Filters of Sheffer Stroke Hilbert Algebras

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"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...

Fuzzy Weak Filters of Sheffer Stroke Hilbert Algebras

Published Online: Jul 26, 2023

Page range: 185 - 203

Received: Dec 16, 2022

Accepted: Jul 05, 2023

DOI: https://doi.org/10.2478/amsil-2023-0010

Keywords
Sheffer stroke Hilbert algebra, (fuzzy) weak filter, ()-fuzzy weak filter, -level set, -set, --set

© 2023 Rajab Ali Borzooei et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fuzzy Weak Filters of Sheffer Stroke Hilbert Algebras

Published Online: Jul 26, 2023

Page range: 185 - 203

Received: Dec 16, 2022

Accepted: Jul 05, 2023

DOI: https://doi.org/10.2478/amsil-2023-0010

KeywordsSheffer stroke Hilbert algebra, (fuzzy) weak filter, ()-fuzzy weak filter, -level set, -set, --set

© 2023 Rajab Ali Borzooei et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Sheffer stroke Hilbert algebra, (fuzzy) weak filter, ()-fuzzy weak filter, -level set, -set, --set