International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3614 2020 2020 PG and Research Department of Mathematics, Sacred Heart College, Tirupattur - 635601, India J. J. Department of Mathematics, Panimalar Engineering College, Poonamalle, Chennai -600123, India J. Aldring PG and Research Department of Mathematics, Sacred Heart College, Tirupattur - 635601, India S. John Borg PG and Research Department of Mathematics, Sacred Heart College, Tirupattur - 635601, India D. Ajay 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 2025 40 54 10.54216/IJNS.260104 https://www.americaspg.com/articleinfo/21/show/3614