Neutrosophic Generalized Pre Regular Closed Sets

Abstract

As a generalization of fuzzy sets and intuitionistic fuzzy sets, Neutrosophic sets have been developed by Smarandache to represent imprecise, incomplete and inconsistent information existing in the real world. A neutrosophic set is characterized by a truth value, an indeterminacy value and a falsity value. In this paper, we introduce and study a new class of Neutrosophic generalized closed set, namely Neutrosophic generalized pre regular closed sets and Neutrosophic generalized pre regular open sets in Neutrosophic topological spaces. Also we study the separation axioms of Neutrosophic generalized pre regular closed sets, namely Neutrosophic pre regular T1/2 space and Neutrosophic pre regular T*1/2 space and their properties are discussed.