n-refined Neutrosophic Fuzzy of Some Topological Concepts

 

Weria Saber 1,*, N. A. Nadhim 2, Alaa M. F. AL-Jumaili 2

1General Directorate of Education in Anbar, Ministry of Education, Ramadi, Anbar, Iraq

 2Department of Applied Mathematics, College of Science, University of Anbar, Ramadi, Iraq

Emails: weriasaber@gmail.com;  mad772918@uoanbar.edu.iq;  eps.alaamahmood.farhan@uoanbar.edu.iq

 

Abstract

In this paper, we present and study some concepts in topological space by using two tools in fuzzy theory which namely fuzzy and neutrosophic concepts. n-refined neutrosophic fuzzy topological space have been studied by n-refined neighborhood, n-refined compact set and other notions. Finally, some definitions, examples and new results have been presented in this paper.

Keywords: Topological space; fuzzy set; open set; neutrosophic set; compact set.