Complex fuzzy Hv-subgroups of an Hv-group

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.

Keywords:

complex fuzzy set , complex fuzzy subhypergroup , complex anti-fuzzy subhypergroup