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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 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.
Keywords: BE-algebra, Sheffer stroke BE-algebra, BE-ideal, intuitionistic fuzzy SBE-subalgebra, intuitionistic fuzzy SBE-ideal
Published in RUNG: 06.01.2025; Views: 641; Downloads: 4
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Keywords: intelligent systems, robotic manufacturing, intuitionistic fuzzy set, image, inverse image, upper bound level, lower bound level
Published in RUNG: 03.03.2023; Views: 2600; Downloads: 4
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Keywords: complete hypergroup, intuitionistic fuzzy set, intuitionistic fuzzy subhypergroup
Published in RUNG: 22.01.2015; Views: 6377; Downloads: 0