Rasul Rasuli - Department of Mathematics, Payame Noor University, P. O. Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran

In this paper, by using t-norms, we define complex fuzzy subgroups and normal complex fuzzy subgroups and investigate some of their characteristics of them. Later we introduce and study their intersection and composition of them. Next, we define the concept of normality between two complex fuzzy subgroups under t-norms and obtain some properties of them. Finally, we describe the image and the inverse image of them under group homomorphisms.

Group Theory, fuzzy groups, Norms, intersections, compositions, complex fuzzy subgroups, normal complex fuzzy subgroups