Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6449 2771-6430 10.54216/JNFS https://www.americaspg.com/journals/show/3201 2021 2021 Department of Mathematics, Faculty of Science, Tishreen University, Latakia, Syria Mohammad Mohammad Department of Mathematics, Faculty of Science, Tishreen University, Latakia, Syria Hasan Sankari This paper is concerned with the study of the classification of 3-cyclic refined real vector spaces by semi-module isomorphisms, where we use this algebraic technique to find the algebraic relationship between real 3-cyclic refined vector spaces and classical vector spaces. Also, we define the inner products on these spaces and prove many related inequalities.   2024 2024 19 27 10.54216/JNFS.090102 https://www.americaspg.com/articleinfo/24/show/3201