Title of article :
Connections between reversible regular hypergroups, t-fuzzy subgroups and t-fuzzy graphs
Author/Authors :
Mirvakili, S Department of Mathematics - Payame Noor University, Tehran, Iran , Naraghi, H Department of Mathematics - Payame Noor University, Tehran, Iran
Abstract :
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.
Keywords :
t-norm , hypergroup , fuzzy subgroup , Fuzzy graph
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras
