In this paper, we define the tensor product of two intuitionistic L-fuzzy graphs (ILFGs) and study some of their basic properties. We show that the tensor product of two strong ILFGs is again a strong ILFG. Moreover, we introduce regular intuitionistic L-fuzzy graphs and discuss some of their properties and determine some conditions for the tensor product of two ILFGs to be regular.

tensor product of intuitionistic L-fuzzy graphs, L-fuzzy degree of a vertex of an ILFG, regular ILFG, L-fuzzy degree of a vertex in tensor product.