International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1985 2020 2020 Department of Mathematics, IFET College of Engineering (Autonomous), Villupuram, Tamilnadu, India M. .. Department of Mathematics, Faculty of Science and Humanities, SRM Institute of Science and Technology, Ramapuram, Tamilnadu, India T. Harikrishnan Department of Mathematics, R.M.K College of Engineering and Technology Chennai, Tamilnadu, India S. M. Chithra Department of Mathematics, Panimalar Engineering College, Chennai, Tamilnadu, India V. Kamalakannan Department of Mathematics, Sri Manakula Vinayagar Engineering College (Autonomous), Madagadipet, Puducherry, India B. Kanimozhi Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco Broumi Said In this paper, we introduce the concept of reverse sharp ordering on Neutrosophic Fuzzy matrix (NFM) as a special case of minus ordering. We also introduce the concept of reverse left-T and right-T orderings for NFM as an analogue of left-star and right-star partial orderings for complex matrices. Several properties of these ordering are derived. We show that these ordering preserve its Moore-penrose inverse property. Finally, we show that these ordering are identical for certain class of NFM. 2023 2023 135 145 10.54216/IJNS.210413 https://www.americaspg.com/articleinfo/21/show/1985