Fuzzy filters of Sheffer stroke Hilbert algebras
Makaleler > Tam Makale · 2020
Yazarlar: Tahsin ÖNER, Tugce Katican, Arsham Borumand Saeid
Journal of Intelligent & Fuzzy Systems, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Scopus, 2020, cilt 40, ss 759-772
DOI: 10.3233/jifs-200760
Özet
The aim of this study is to introduce fuzzy filters of Sheffer stroke Hilbert algebra. After defining fuzzy filters of Sheffer stroke Hilbert algebra, it is shown that a quotient structure of this algebra is described by its fuzzy filter. In addition to this, the level filter of a Sheffer stroke Hilbert algebra is determined by its fuzzy filter. Some fuzzy filters of a Sheffer stroke Hilbert algebra are defined by a homomorphism. Normal and maximal fuzzy filters of a Sheffer stroke Hilbert algebra and the relation between them are presented. By giving the Cartesian product of fuzzy filters of a Sheffer stroke Hilbert algebra, various properties are examined.