Complex fuzzy Hv-subgroups of an Hv-group

Document Type : Research Paper


1 Department of Mathematics, Lebanese International University, Bekaa, CZ-961, Lebanon

2 Department of Mathematics, Yazd University, Yazd, Iran



The concept of complex fuzzy sets is a generalization of ordinary fuzzy sets. In this paper, we introduce the concept of complex fuzzy subhypergroups ($H_{v}$-subgroups) as well as the concept of complex anti-fuzzy subhypergroups ($H_{v}$-subgroups). We investigate their properties and their relations with the traditional fuzzy (anti-fuzzy) subhypergroups ($H_{v}$-subgroups), and we prove some results in this respect.