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Keywords = Sheffer stroke BE-algebra

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26 pages, 327 KB  
Article
SBE-Algebras via Intuitionistic Fuzzy Structures
by Tahsin Oner, Hashem Bordbar, Neelamegarajan Rajesh and Akbar Rezaei
Mathematics 2024, 12(24), 4038; https://doi.org/10.3390/math12244038 - 23 Dec 2024
Cited by 1 | Viewed by 699
Abstract
The study introduces the concept of intuitionistic fuzzy SBE-subalgebras, ideals, and filters, along with level sets of intuitionistic fuzzy sets within the framework of Sheffer stroke BE-algebras. These concepts are shown to be crucial for understanding the behavior of intuitionistic fuzzy logic in [...] Read more.
The study introduces the concept of intuitionistic fuzzy SBE-subalgebras, ideals, and filters, along with level sets of intuitionistic fuzzy sets within the framework of Sheffer stroke BE-algebras. These concepts are shown to be crucial for understanding the behavior of intuitionistic fuzzy logic in this algebraic structure. The study further establishes a bidirectional relationship between subalgebras, ideals, filters, and their respective level sets on Sheffer stroke BE-algebras, demonstrating that the level set of an intuitionistic fuzzy SBE-subalgebra, ideal, or filter is itself a subalgebra, ideal, or filter on this algebra, and vice versa. Full article
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