Neutrosophic -Closed Set and Related Mappings in Neutrosophic Topological Spaces

Abstract

Studying open and closed set variations is crucial in neutrosophic topology, given 
the growing significance of neutrosophic sets in various applications. This study introduces 
neutrosophic -closed sets, generalizing neutrosophic closed and pre-closed sets within 
neutrosophic topological spaces. Their fundamental properties are examined alongside 
comparisons with various existing neutrosophic sets. To illustrate their significance, we define
neutrosophic -continuous mapping, neutrosophic -closed mapping, and neutrosophic 
spaces, exploring their connections with established mappings. Additionally, new concepts 
such as neutrosophic-continuous, neutrosophic--closed, neutrosophic closed, and 
neutrosophic-closed mappings are proposed to further enrich neutrosophic topological 
spaces. Several theorems and counterexamples validate these findings and highlight their 
theoretical significance