Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/3342 2022 2022 Faculty of Science, Beirut Arab University, Beirut, Lebanon Josef Josef Mutah University, Faculty of Science, Jordan Ahmad Khaldi This work is dedicated to studying the problem of computing 2-cyclic refined neutrosophic duplets and triplets in the 2-cyclic refined neutrosophic ring of real numbers, where we present four different formulas that describe all possible duplets in this extended ring. Also, we present four different formulas for the computation of related triplets in the same ring. 2024 2024 44 49 10.54216/GJMSA.0110206 https://www.americaspg.com/articleinfo/33/show/3342