| Title of paper:
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Triangular norm-based intuitionistic fuzzy BE-algebras and filters
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| Author(s):
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 31 (2025), Number 2, pages 227–241
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| DOI:
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https://doi.org/10.7546/nifs.2025.31.2.227-241
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| Download:
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 PDF (253 Kb, File info)
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| Abstract:
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In this paper, intuitionistic fuzzy BE-algebra that a generalization of the BCK-algebra is introduced with respect to t-norms and t-conorms. The various algebraic properties of triangular norm-based intuitionistic fuzzy BE-algebras are studied in detail, and the characteristics of norm-based α-cuts are examined. Furthermore, the notion of intuitionistic fuzzy filters in the context of triangular BE-algebras is defined and analyzed. Theoretical results and properties related to these structures are discussed.
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| Keywords:
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Intuitionistic fuzzy sets, intuitionistic fuzzy BE-algebra, t-norms, intuitionistic fuzzy filter.
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| AMS Classification:
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03E72, 08A72.
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| References:
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