Neutrosophic Nano Regular Generalized Star Star B – Continuous andIrresolute Mappings in Neutrosophic Nano Topological Spaces

Abstract

 Neutrosophic sets, proposed by Smarandache, extend fuzzy sets and intuitionistic fuzzy sets to better manage imprecise, incomplete, and inconsistent information frequently encountered in real-world problems. A neutrosophic set is characterized by three independent components: truth, indeterminacy, and falsity. Based on this framework, Salama introduced the notion of neutrosophic topological spaces. The concept of a Neutrosophic Nano Topological Space further integrates neutrosophic set theory with nano topology to effectively model uncertainty, indeterminacy, and vagueness in highly granular or fine-scale systems and structures. In 2020, N. Rajeshwari, G. Vasanthakannan, and J. Subashini introduced the concepts of neutrosophic nano regular generalized star star b-closed sets and studied some basic properties in neutrosic nano topological space In this research paper, we introduce the concepts of mappings, mappings, mappings, mappings, strongly mappings, perfectly mappings, mappings, mappings and totally mappings in neutrosophic topological spaces We investigate and obtain several properties and characterizations concerning these mappings in ( ) eut anorb closed N g-N ( ) eut ano Top Spaces −. -N N eut anorbcontinuous N g-N eut anorbirresolute N g-N eut anorbclosed N g-N eut anorbopen N g-N eut anorbcontinuous N g-N eut anorbcontinuous N g-N eut anocontra rbcontinuous N -g-N eut anocontra rbirresolute N -g-N eut anorbcontinuous N g-N ( ) eut ano Top Spaces . --N N eut ano TopSpaces. N --N