𝒩𝛼𝑔#𝜓-open map, 𝒩𝛼𝑔#𝜓-closed map and 𝒩𝛼𝑔#𝜓-homomorphism in neutrosophic topological spaces

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. Salama introduced neutrosophic topological spaces by using Smarandache’s neutrosophic sets. In this article, we introduce the concept of𝒩𝛼𝑔#𝜓-open and 𝒩𝛼𝑔#𝜓-closed mappings in neutrosophic topological spaces and studied some of their related properties. Further the work is extended to 𝒩𝛼𝑔#𝜓-homeomorphism, 𝒩𝛼𝑔#𝜓-C homeomorphism and 𝒯𝒩𝛼𝑔#𝜓-space in neutrosophic topological spaces and establishes some of their related attributes.