aspg-33-2019-1792222623 20261017073703 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 2023 7 1 Khadija Ben Othman Umm Al-Qura Univerity, Mekka, Saudi Arabia Oliver Von Shtawzen University Of Nizwa, Sultanate Of Oman Ahmad Khaldi Mutah University, Faculty of Science, Jordan Rozina Ali Cairo University, Department Of Mathematics, Egypt 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. 2023 36 42 2019 https://creativecommons.org/licenses/by/4.0/ 10.54216/GJMSA.070104 https://americaspg.com/journal/33/article/2019 https://americaspg.com/storage/91693278799.pdf