Intuitionistic fuzzy Lie sub-superalgebras and intuitionistic fuzzy ideals

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.