This paper committed to the investigation of Neutrosophic topological spaces. In this paper Generalized Alpha Closed Sets and Generalized Alpha Open Sets are presented. Some of its properties are contemplated.

In this paper, the concept of generalized neutrosophic closed set is introduced. Further, generalized neutrosophic continuous mapping, generalized neutrosophic irresolute mapping, strongly neutrosophic continuous mapping, perfectly neutrosophic continuous mapping, strongly generalized neutrosophic continuous mapping and perfectly generalized neutrosophic contin- uous mapping are introduced. Several interesting properties and characterizations are also discussed.

In this paper, the concept of generalized neutrosophic pre-closed sets and generalized neutrosophic pre-open sets are introduced. We also study relations and various properties between the other existing neutrosophic open and closed sets.

In this paper, we have introduced the notion of generalized closed sets in Neutrosophic topological spaces and studied some of their basic properties.

F.Smarandache introduced and developed the concept of Neutrosophic set from the fuzzy sets and intuitionistic fuzzy sets . A.A. Salama introduced Neutrosophic topological spaces by using the Neutrosophic crisp sets. Aim of this paper is we introduced and studied about Neutrosophic generalized semi closed sets in Neutrosophic topological spaces and its properties are discussed details.

Smarandache introduced and developed the new concept of Neutrosophic set from the Intuitionistic fuzzy sets. A.A. Salama introduced Neutrosophic topological spaces by using the Neutrosophic crisp sets. In this paper we introduce and study about Neutrosophic Regular Generalized Star b Closed sets in Neutrosophic Topological Spaces and its properties are discussed.

Smarandache introduced and developed the new concept of Neutrosophic set from the Intuitionistic fuzzy sets. A.A. Salama introduced Neutrosophic topological spaces by using the Neutrosophic crisp sets. Aim of this paper is we introduce and study about Neutrosophic generalized b closed sets in Neutrosophic topological spaces and its properties are discussed details.