Abstarct: The concept of domination in fuzzy graphs is very rich both in theoretical develipments and applications. since most of the problems that have discuss in the graphs of the data is accurate and clear. While in application information and data are uncertain that these numbers are different value. In fuzzy graphs vertices and edges denoted by membership degree thats a number between zero and one. so The definition of new concepts such as domination in fuzzy graphs will be necessary. The concept of domination in fuzzy graphs in various branches of applied science is used such to locate problems. In this paper we have introduced the concepts of domination in fuzzy graphs and discussed some of applications. In the first chapter, we have presented basic definitions and concepts in fuzzy graphs. In the second chapter have been different parameters of the domination in fuzzy graphs and some bounds of them. Also represent the effect of the removal of a vertex or edge of G on its domination number. In this chapter introduce the concepts of domination in composition and cartesian and categorical of fuzzy graphs. In the third chapter present the strong fuzzy domination number and weak fuzzy domination number. In the Chapter IV introduces another concepts of fuzzy graph as a vertex cover number , edge cover number, and matching. And the relationship of these concepts with fuzzy dominating number have been studied. In Chapter Five in the first presented some theorems of domination in fuzzy graphs and provered them then discussed some applications of domination in fuzzy graphs for solveing the problems that study in absolute model.