A New Class of Generalized Closed Sets in Pentapartitioned Neutrosophic Topological Spaces

Abstract

Objective: The motive of this research paper is to give a new notion called Pentapartitioned Neutrosophic Generalized Pre Open and Closed sets. Methods: To get the Pentapartitioned Neutrosophic Generalized Pre Open and Closed sets, PN topology is needed. Further, there is a need to find the Pre Open and Pre Closed sets and then we use our definition to get the required objective. Findings: The Pentapartitioned Neutrosophic Generalized Pre sets give a more finer collection of weak sets. Moreover, we can find the interior, exterior, and frontier of the resultant set. Novelty: Finding the generalized part of Pentapartitioned Neutrosophic sets is a subtle work to do. So, the investigation procedure of its characterization is an interesting aspect. Keywords: Pentapartitioned Neutrosophic Generalized Pre Closed Set, Pentapartitioned Neutrosophic Frontier, Pentapartitioned Neutrosophic Pre Frontier of a Pentapartitioned Neutrosophic Set, Pentapartitioned Neutrosophic Set and Pentapartitioned Neutrosophic Pre