International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1285 2020 2020 Tishreen University, Faculty Of Science, Department Of Mathematics, Latakia, Syria Mohammad Abobala Aleppo University, Faculty Of Science, Department Of Statistics, Aleppo, Syria M. Bisher .. R. Iqbal Doewes R. Iqbal Doewes AL-Mustaqbal University College, Physical Education And Sport Sciences Department, Hillah, Babil, Iraq Zahraa Hussein The aim of this paper is to solve the problem of representing refined neutrosophic matrices by linear functions, where it describes the structure of refined neutrosophic linear transformations that represent refined neutrosophic matrices. On the other hand, this work introduces a novel algorithm to compute a basis of any refined neutrosophic vector space depending on the classical basis of its corresponding classical vector space. 2022 2022 342 349 10.54216/IJNS.190131 https://www.americaspg.com/articleinfo/21/show/1285