ð’©ð›¼ð‘”#ðœ“-open map, ð’©ð›¼ð‘”#ðœ“-closed map and ð’©ð›¼ð‘”#ðœ“-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 ofð’©ð›¼ð‘”#ðœ“-open and ð’©ð›¼ð‘”#ðœ“-closed mappings in neutrosophic topological spaces and studied some of their related properties. Further the work is extended to ð’©ð›¼ð‘”#ðœ“-homeomorphism, ð’©ð›¼ð‘”#ðœ“-C homeomorphism and ð’¯ð’©ð›¼ð‘”#ðœ“-space in neutrosophic topological spaces and establishes some of their related attributes.