On πgβ–Closed Sets and Mappings in Neutrosophic Topological Spaces

Abstract

The real life situations always include indeterminacy. The Mathematical tool which is well known to deal with indeterminacy is Neutrosophy. The notion of Neutrosophic set is generally referred as the generalization of Intuitionistic fuzzy set. The Purpose of this article is to define the new class of sets called πgβ-closed sets in Neutrosophic topological spaces. The properties and characterizations of πgβclosed sets are discussed and its relationships with other Neutrosophic sets are studied. Further we define πgβ –closed mappings and πgβ –open sets and some of its properties are touched upon.