Topology studies properties of spaces that are fixed under any continuous deformation. It is the area of mathematics which investigates continuity and related concepts. We extend the notion of closed sets in ordinary topological spaces to pre-generalized - closed sets in generalized topological spaces. In topological spaces, generalized topology is an important generalization. According to the definition of generalized topological spaces, f may not be come in closed set. In the same way, X may not be come in the open set of generalized topological spaces.  In this paper a new class of sets in topological spaces is studied and some of their properties are investigated. A closed set of pre-generalized a topological space is pre -  , The relationships among  - closed sets, existing classes of generalized closed sets. Also, some different classes of continuity, irresoluteness, compactness, and connectedness via  - closed sets. We discuss some of their properties and investigate the relations between the associated topologies.