In 1997, Balasubramanian introduced and investigated the notion of a fuzzy generalized closed set. Generalized closed sets play an important role in the study of topological spaces. In the literature, we have seen the relation between closed sets and generalized closed sets. In particular, every closed set is a generalized closed set. In this present treatise, a new type of generalized closed set is described. We define and obtain a new notion of fuzzy generalized closed set. We offer another form of fuzzy regular space, fuzzy generalized regular space. In this study, we introduce some theorems and corollaries of fuzzy generalized closed set characteristics, present fuzzy types of fuzzy generalized T3 spaces and study the θ- closure of A. We also introduce the theorems and study a fuzzy symmetric space (f.sym.s.) or some theorems. The fuzzy Urysohn space (f.ury.s.) and a few theorems or corollaries are introduced.