aspg-33-3342-1792223364 20261017074924 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 2024 11 2 Josef Al Jumayel Faculty of Science, Beirut Arab University, Beirut, Lebanon Ahmad Khaldi Mutah University, Faculty of Science, Jordan 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 44 49 3342 https://creativecommons.org/licenses/by/4.0/ 10.54216/GJMSA.0110206 https://americaspg.com/journal/33/article/3342 https://americaspg.com/storage/31733052650.pdf