(Hesitant) Fuzzy sets on Sheffer stroke UP-algebras
Makaleler > Tam Makale · 2022
Yazarlar: Tahsin ÖNER, Tugce Katican, Arsham Borumand Saeid
JOURNAL OF INTERDISCIPLINARY MATHEMATICS, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2022, cilt 25, ss 1221-1236
DOI: 10.1080/09720502.2021.1959999
Özet
The aim of this study is to present (sup-hesitant) fuzzy SUP-subalgebras and fuzzy duplex SUP-sets on Sheffer stroke UP-algebra (in short, SUP-algebra). After defining (sup-hesitant) fuzzy SUP-subalgebras and fuzzy duplex SUP-sets of a SUP-algebra, we give their some properties and analyse whether the intersection or union of these subalgebras is a (sup-hesitant) fuzzy SUP-subalgebra of a SUP-algebra. It is shown that the level sets of (sup-hesitant) fuzzy SUP-subalgebras of a SUP-algebra are its SUP-subalgebras. Also, fuzzy duplex SUP-sets of a SUP-algebra are determined and studied the cases which these sets are SUP-algebras. Finally, the relationships between aforementioned structures are investigated.