Fuzzy Weak Filters of Sheffer Stroke Hilbert Algebras

Rajab Ali Borzooei; Gholam Reza Rezaei; Young Bae Jun

doi:10.2478/amsil-2023-0010

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Fuzzy Weak Filters of Sheffer Stroke Hilbert Algebras

Annales Mathematicae Silesianae

Volume 37 (2023): Issue 2 (September 2023)

By: Rajab Ali Borzooei , Gholam Reza Rezaei and Young Bae Jun

Open Access

|Jul 2023

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, Q_t-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.

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2023-0010 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 185 - 203

Submitted on: Dec 16, 2022

Accepted on: Jul 5, 2023

Published on: Jul 26, 2023

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Sheffer stroke Hilbert algebra,

(fuzzy) weak filter,

()-fuzzy weak filter,

-set,

Related subjects:

© 2023 Rajab Ali Borzooei, Gholam Reza Rezaei, Young Bae Jun, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 37 (2023): Issue 2 (September 2023)