Interval-valued Fuzzy Structures on Lie Superalgebras

摘要

In this paper we introduce the notions of interval-valued fuzzy Lie sub-superalgebras and Lie ideals of Lie superalgebras and present a number of interesting properties. We then discuss the homomorphisms between the Lie sub-superalgebras and Lie ideals of Lie superalgebras and their relationship between the domains and the co-domains of the interval-valued fuzzy Lie sub-superalgebras and Lie ideals under these homomorphisms.