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Intuitionistic fuzzy Lie sub-superalgebras and intuitionistic fuzzy ideals. (English) Zbl 1189.17024
Summary: The concepts of intuitionistic fuzzy sets are introduced to Lie superalgebras. Intuitionistic fuzzy Lie sub-superalgebras and intuitionistic fuzzy ideals of Lie superalgebras are defined and related properties are investigated. As the applications of intuitionistic fuzzy Lie sub-superalgebras and intuitionistic fuzzy ideals, the properties of intuitionistic fuzzy Lie sub-superalgebras and intuitionistic fuzzy ideals under homomorphisms of Lie superalgebras are studied. The intuitionistic fuzzy bracket product is also introduced and its characterization is established.

MSC:
17B99 Lie algebras and Lie superalgebras
03E72 Theory of fuzzy sets, etc.
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