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Chen, Wenjuan; Zhang, Shunhua

Intuitionistic fuzzy Lie sub-superalgebras and intuitionistic fuzzy ideals. (English) Zbl 1189.17024

Comput. Math. Appl. 58, No. 8, 1645-1661 (2009).
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.

Cited in 1 Document

MSC:

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

Keywords:

intuitionistic fuzzy set; intuitionistic fuzzy Lie sub-superalgebras; intuitionistic fuzzy ideals; Lie superalgebras
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\textit{W. Chen} and \textit{S. Zhang}, Comput. Math. Appl. 58, No. 8, 1645--1661 (2009; Zbl 1189.17024)
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