Reverse Sharp and Left-T Right-T Partial Ordering on Neutrosophic Fuzzy Matrices
M. Anandhkumar 1,*, T. Harikrishnan2, S. M. Chithra3, V. Kamalakannan4, B. Kanimozhi5, Broumi Said6
1Department of Mathematics, IFET College of Engineering (Autonomous), Villupuram, Tamilnadu, India
2Department of Mathematics, Faculty of Science and Humanities, SRM Institute of Science and Technology, Ramapuram, Tamilnadu, India
3Department of Mathematics, R.M.K College of Engineering and Technology Chennai, Tamilnadu, India
4Department of Mathematics, Panimalar Engineering College, Chennai, Tamilnadu, India
5Department of Mathematics, Sri Manakula Vinayagar Engineering College (Autonomous), Madagadipet, Puducherry,
India
6Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco
Emails: anandhkumarmm@gmail.com; mokshihari2009@gmail.com; chithra.sm@rmkcet.ac.in; vkamalakannan@panimalar.ac.in; kanigopi.a20@gmail.com; broumisaid78@gmail.com
Abstract
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.
Keywords: Neutrosophic fuzzy matrices; Reverse sharp ordering; Reverse left-T and right-T ordering; g-inverse; Moore-penrose inverses.