Connections between reversible regular hypergroups, t-fuzzy subgroups and t-fuzzy graphs

Document Type : Original Article


1 Department of mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran, Iran

2 Department Mathematics, Payame Noor University, Tehran, Iran.


In this paper, we obtain a reversible regular hypergroup from fuzzy sets by using a t-norm. Some properties of isomorphism of t-fuzzy graphs are considered and we show that a t-fuzzy subgroup can be associated with a t-fuzzy graph. Finally, using the group of automorphisms of fuzzy graph, we explain the relationship between the hypergroup and the t-fuzzy subgroup with the t-fuzzy graph.