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Sheffer Stroke BL-Algebras via Intuitionistic Fuzzy Structures

Authors
Oner, TahsinJun, Young BaeKatican, TugceSaeid, Arsham Borumand
Issue Date
Jul-2023
Publisher
World Scientific
Keywords
(ultra) filter; intuitionistic fuzzy (ultra) filter; intuitionistic fuzzy quasi-subalgebra; quasi-subalgebra; Sheffer stroke BL-algebra
Citation
New Mathematics and Natural Computation
Indexed
SCOPUS
ESCI
Journal Title
New Mathematics and Natural Computation
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/68734
DOI
10.1142/S1793005724500169
ISSN
1793-0057
1793-7027
Abstract
The notions of intuitionistic fuzzy quasi-subalgebras and intuitionistic fuzzy (ultra) filters are defined and examined on Sheffer stroke BL-algebras in detail. Then we characterize the properties of these intuitionistic fuzzy structures, and show the relationships between intuitionistic fuzzy quasi-subalgebras and intuitionistic fuzzy (ultra) filters. Also, it is stated that the affiliations between aforementioned intuitionistic fuzzy structures and ordinary fuzzy structures on Sheffer stroke BL-algebras, and that the upper and lower level sets defining intuitionistic fuzzy (ultra) filters are (ultra) filters on these algebraic structures. At the end of the study, the process of building new intuitionistic fuzzy filters is presented by means of homomorphisms of Sheffer stroke BL-algebras. © 2024 World Scientific Publishing Company.
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