Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6449 2771-6430 10.54216/JNFS https://www.americaspg.com/journals/show/976 2021 2021 Islamic University Of Gaza, Palestine Katy D. Ahmad Gaziantep University, Turkey Mikail Bal Cairo University, Egypt Arwa A. Hajjari Cairo University, Egypt Rozina Ali This paper solves the imperfect duplets problem in refined neutrosophic rings, where it presents the necessary and sufficient conditions for a pair  to be an imperfect duplet in any refined neutrosophic ring. Also, this work introduces a full description of the structure of imperfect duplets in numerical refined neutrosophic rings such as refined neutrosophic ring of integers  , refined neutrosophic ring of rationales , and refined neutrosophic ring or real numbers.  2021 2021 71 79 10.54216/JNFS.010203 https://www.americaspg.com/articleinfo/24/show/976