(ANTI) FUZZY IDEALS OF SHEFFER STROKE BCK-ALGEBRAS
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Shahrood University of Technology
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This study aims to introduce the concept of (anti) fuzzy ideals of a Sheffer stroke BCK-algebra. After describing an anti fuzzy subalgebra and an anti fuzzy (sub-implicative) ideal of a Sheffer stroke BCK-algebra, the relationships of these notions are demonstrated. Also, a t-level cut and complement of a fuzzy subset are defined, and some of the properties are investigated. An implicative Sheffer stroke BCK-algebra is defined, and it is proved that a fuzzy subset of an implicative Sheffer stroke BCK-algebra is an anti fuzzy ideal if and only if it is an anti fuzzy sub-implicative ideal of this algebraic structure. A fuzzy congruence and quotient of Sheffer stroke BCK-algebra are studied in detail, and it is shown that there is a bijection between the set of fuzzy ideals and the set of fuzzy congruences on this algebraic structure. © 2023, Shahrood University of Technology. All rights reserved.
Açıklama
Anahtar Kelimeler
(anti) fuzzy ideal, (Sheffer stroke) BCK-algebra
Kaynak
Journal of Algebraic Systems
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
11
Sayı
1
