Fuzzy weak filters of Sheffer stroke Hilbert algebras
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.
Keywords
Sheffer stroke Hilbert algebra; (fuzzy) weak filter; (∈.∈∨q)-fuzzy weak filter; t-level set; Q_t-set; t-∈∨q-set
References
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Department of Mathematics, Shahid Beheshti University Iran, Islamic Republic of
https://orcid.org/0000-0002-0694-3064
Department of Mathematics, University of Sistan and Baluchestan Iran, Islamic Republic of
Department of Mathematics Education, Gyeongsang National University Korea, Republic of
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