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Intuitionistic fuzzy Lie ideals of Lie algebras. (English) Zbl 1221.17037

Summary: The notion of intuitionistic fuzzy Lie ideal of a Lie algebra is introduced, and related properties are investigated. Characterizations of intuitionistic fuzzy Lie ideals are provided. Using a collection of Lie ideals, an intuitionistic fuzzy Lie ideal is constructed.

MSC:

17B99 Lie algebras and Lie superalgebras
03E72 Theory of fuzzy sets, etc.
08A72 Fuzzy algebraic structures
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