Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6449 2771-6430 10.54216/JNFS https://www.americaspg.com/journals/show/1226 2021 2021 Department of Mathematics, port said, Egypt Ahmad Salama Departement of Mathematics, Albaath University, Homs, Syria Rasha Dalla PHD of Mathematics, GaziAntep, Turkey Malath Al Aswad Department Of Mathematics, Cairo University, Egypt Rozina Ali This paper is dedicated to define for the first time the concept of 2-cyclic complex refined neutrosophic numbers as a direct application of 2-cyclic refined neutrosophic sets. Also, it presents some of their elementary properties such as conjugates, absolute values, invertibility, and algebraic operations. Also, we illustrate many examples to clarify the validity of our discussion 2022 2022 41 8 10.54216/JNFS.040105 https://www.americaspg.com/articleinfo/24/show/1226