A. A Talebi - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
M Eslami - Department of Mathematics, Faculty of Mathematical Sciences,University of Mazandaran, Babolsar, Iran

Let ? = (?,?) be a fuzzy graph. Then S? ? is said to be a restrained dominating set of , if where every vertex in dominates a vertex in ? as well as another vertex in . The minimum fuzzy cardinality of such a set is called the restrained domination number of and denoted by . In this paper we study restrained dominating set and global restrained dominating set in a graph and investigate the relationship other known parameters of

Fuzzy domination, Restrained fuzzy domination, Restrained fuzzy domination number