1
Department of Mathematics, IFET College of Engineering (Autonomous), Villupuram, Tamilnadu, India
(anandhkumarmm@gmail.com)
2
Department of Mathematics, Faculty of Science and Humanities, SRM Institute of Science and Technology, Ramapuram, Tamilnadu, India
(mokshihari2009@gmail.com)
3
Department of Mathematics, R.M.K College of Engineering and Technology Chennai, Tamilnadu, India
(chithra.sm@rmkcet.ac.in)
4
Department of Mathematics, Panimalar Engineering College, Chennai, Tamilnadu, India
(vkamalakannan@panimalar.ac.in)
5
Department of Mathematics, Sri Manakula Vinayagar Engineering College (Autonomous), Madagadipet, Puducherry, India
(kanigopi.a20@gmail.com)
6
Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco
(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.
References :
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| Style | # |
|---|---|
| MLA | M. Anandhkumar , T. Harikrishnan, S. M. Chithra, V. Kamalakannan, B. Kanimozhi, Broumi Said. "Reverse Sharp and Left-T Right-T Partial Ordering on Neutrosophic Fuzzy Matrices." International Journal of Neutrosophic Science, Vol. 21, No. 4, 2023 ,PP. 135-145 (Doi : https://doi.org/10.54216/IJNS.210413) |
| APA | M. Anandhkumar , T. Harikrishnan, S. M. Chithra, V. Kamalakannan, B. Kanimozhi, Broumi Said. (2023). Reverse Sharp and Left-T Right-T Partial Ordering on Neutrosophic Fuzzy Matrices. Journal of International Journal of Neutrosophic Science, 21 ( 4 ), 135-145 (Doi : https://doi.org/10.54216/IJNS.210413) |
| Chicago | M. Anandhkumar , T. Harikrishnan, S. M. Chithra, V. Kamalakannan, B. Kanimozhi, Broumi Said. "Reverse Sharp and Left-T Right-T Partial Ordering on Neutrosophic Fuzzy Matrices." Journal of International Journal of Neutrosophic Science, 21 no. 4 (2023): 135-145 (Doi : https://doi.org/10.54216/IJNS.210413) |
| Harvard | M. Anandhkumar , T. Harikrishnan, S. M. Chithra, V. Kamalakannan, B. Kanimozhi, Broumi Said. (2023). Reverse Sharp and Left-T Right-T Partial Ordering on Neutrosophic Fuzzy Matrices. Journal of International Journal of Neutrosophic Science, 21 ( 4 ), 135-145 (Doi : https://doi.org/10.54216/IJNS.210413) |
| Vancouver | M. Anandhkumar , T. Harikrishnan, S. M. Chithra, V. Kamalakannan, B. Kanimozhi, Broumi Said. Reverse Sharp and Left-T Right-T Partial Ordering on Neutrosophic Fuzzy Matrices. Journal of International Journal of Neutrosophic Science, (2023); 21 ( 4 ): 135-145 (Doi : https://doi.org/10.54216/IJNS.210413) |
| IEEE | M. Anandhkumar, T. Harikrishnan, S. M. Chithra, V. Kamalakannan, B. Kanimozhi, Broumi Said, Reverse Sharp and Left-T Right-T Partial Ordering on Neutrosophic Fuzzy Matrices, Journal of International Journal of Neutrosophic Science, Vol. 21 , No. 4 , (2023) : 135-145 (Doi : https://doi.org/10.54216/IJNS.210413) |