Document Type : Research Paper


Department of Mathematics, Payame Noor University (PNU), P. O. Box 19395-3697, Tehran, Iran.


In this paper, we define the conceps of complex fuzzy Lie subalgebras and complex

fuzzy ideals of Lie algebras with respect to t-norms and investigate some of characteristics and

relationship between them. Next, we introduce the concepos of quotient subalgebras, intersection, sum and direct product of them and prove some results about them. Finally, we introduce

and study the image and the inverse image of them under Lie algebra homomorphisms.


Main Subjects