aspg-21-3614-1791468711 20261008141151 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 26 1 T. Sathinathan PG and Research Department of Mathematics, Sacred Heart College, Tirupattur - 635601, India J. Aldring Department of Mathematics, Panimalar Engineering College, Poonamalle, Chennai -600123, India S. John Borg PG and Research Department of Mathematics, Sacred Heart College, Tirupattur - 635601, India D. Ajay PG and Research Department of Mathematics, Sacred Heart College, Tirupattur - 635601, India The objective of this paper is to present a perspective of Refined Neutrosophic Vector Space (r-NVS), Sub spaces and some basic operations on Refined Neutrosophic Sets such as Algebraic sum and Algebraic product. Further some basic propositions, lemma and examples are presented. Finally an application on Refined Neutrosophic Vector Space is presented in the field of e-Commerce buyer oriented product (Smart Phones) ranking to illustrate the advantage of representing r-NVS. 2025 40 54 3614 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.260104 https://www.americaspg.com/journal/21/article/3614 https://www.americaspg.com/storage/11740123784.pdf