Intuitionistic fuzzy Lie sub-superalgebras and intuitionistic fuzzy ideals

Authors:
Wenjuan Chen;Shunhua Zhang
Affiliations:
School of Science, University of Jinan, Jinan, Shandong, 250022, PR China;School of Mathematics, Shandong University, Jinan, Shandong, 250100, PR China
Venue:
Computers & Mathematics with Applications
Year:
2009

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Abstract

In this paper, 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.