Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6449 2771-6430 10.54216/JNFS https://www.americaspg.com/journals/show/991 2021 2021 Gaziantep University, Turkey Mikail Bal Islamic University Of Gaza, Palestine Katy D. Ahmad Cairo University, Egypt Arwa A. Hajjari Cairo university, Egypt Rozina Ali This paper solves the imperfect triplets problem in refined neutrosophic rings, where it presents the necessary and sufficient conditions for a triple  (x,y,z) to be an imperfect triplet in any refined neutrosophic ring. Also, this work introduces a full description of the structure of imperfect triplets in numerical refined neutrosophic rings such as refined neutrosophic ring of integers Z(I1,I2) , refined neutrosophic ring of rationales Q(I1,I2), and refined neutrosophic ring or real numbers  (R(I1,I2).  2022 2022 21 30 10.54216/JNFS.020103 https://www.americaspg.com/articleinfo/24/show/991