Neutrosophic Generalized Topological Space

Abstract

In classical topology, the generalized topological space develops the topological space and supra topological space. In this work, we define and study neutrosophic generalized topological space which is more generalization than the neutrosophic supra topological space, this space may be opening a new horizon and new direction in neutrosophic topology. Also, we study new “neutrosophic open (closed) sets” in this new space such as “neutrosophic generalized open (closed) sets”, “neutrosophic generalized semi open (closed) sets”, “neutrosophic generalized pre open (closed) sets”, “neutrosophic generalized a-open (closed) sets”, and we obtain its basic Properties and study the relations between them. Finally, we introduced “the associated interior and closure operators” in neutrosophic generalized topological space.