(Hesitant) Fuzzy sets on Sheffer stroke UP-algebras. Issue 5 (4th July 2022)

• Record Type: Journal Article
• Authors: Oner, Tahsin; Katican, Tugce; Saeid, Arsham Borumand
• Is Part Of: Journal of interdisciplinary mathematics. Volume 25:Issue 5(2022)
• Page Start: 1221
• Page End: 1236
• Publication Date: 2022-07-04
• Subjects: 06F05 -- 03G25 -- 03G10; SUP-algebra -- Sheffer stroke -- SUP-homomorphism -- (hesitant) fuzzy set; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.1080/09720502.2021.1959999
• Languages: English
• ISSNs: 0972-0502

Abstract

Abstract: 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.