Fuzzy filters of Sheffer stroke Hilbert algebras

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. © 2021 - IOS Press. All rights reserved.Ege Üniversitesi: 20772The authors are thankful to the referees for a careful reading of the paper and for valuable comments and suggestions. This study is partially funded by Ege University Scientific Research Projects Directorate with the Project Number 20772