On Neutrosophic Metric Spaces Generated By Classical Metrics

Khadija Ben Othman1,  Oliver Von Shtawzen2, Ahmad Khaldi3, Rozina Ali4

1.Umm Al-Qura Univerity, Mekka, Saudi Arabia

2. University Of Nizwa, Sultanate Of Oman

3 Mutah University, Faculty of Science, Jordan

4 Cairo University, Department Of Mathematics, Egypt

Emails: khagijabenothman33@gmail.com; Vonshtawzen1970abc@gmail.com; khaldiahmad1221@gmail.com; rozyyy123n@gmail.com

 

Abstract

 

This paper is dedicated to study the concept of symbolic neutrosophic metric spaces and refined neutrosophic metric spaces (X(I),d) which are generated by classical metrics, where many elementary properties will be discussed in terms of theorems and examples. Also, we study the topological properties of neutrosophic open balls, closed balls, and their topological metric complements, with many related examples that clarify the validity of our work.

 

Keywords: neutrosophic metric space; refined neutrosophic metric space; open ball; closed ball.