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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 21 , Issue 4 , PP: 135-145, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

Reverse Sharp and Left-T Right-T Partial Ordering on Neutrosophic Fuzzy Matrices

M. Anandhkumar 1 * , T. Harikrishnan 2 , S. M. Chithra 3 , V. Kamalakannan 4 , B. Kanimozhi 5 , Broumi Said 6

  • 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)

    • Doi: https://doi.org/10.54216/IJNS.210413

    Received: February 22, 2023 Revised: May 29, 2023 Accepted: July 23, 2023
    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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    Cite This Article As :
    Anandhkumar, M.. , Harikrishnan, T.. , M., S.. , Kamalakannan, V.. , Kanimozhi, B.. , Said, Broumi. Reverse Sharp and Left-T Right-T Partial Ordering on Neutrosophic Fuzzy Matrices. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 135-145. DOI: https://doi.org/10.54216/IJNS.210413
    Anandhkumar, M. Harikrishnan, T. M., S. Kamalakannan, V. Kanimozhi, B. Said, B. (2023). Reverse Sharp and Left-T Right-T Partial Ordering on Neutrosophic Fuzzy Matrices. International Journal of Neutrosophic Science, (), 135-145. DOI: https://doi.org/10.54216/IJNS.210413
    Anandhkumar, M.. Harikrishnan, T.. M., S.. Kamalakannan, V.. Kanimozhi, B.. Said, Broumi. Reverse Sharp and Left-T Right-T Partial Ordering on Neutrosophic Fuzzy Matrices. International Journal of Neutrosophic Science , no. (2023): 135-145. DOI: https://doi.org/10.54216/IJNS.210413
    Anandhkumar, M. , Harikrishnan, T. , M., S. , Kamalakannan, V. , Kanimozhi, B. , Said, B. (2023) . Reverse Sharp and Left-T Right-T Partial Ordering on Neutrosophic Fuzzy Matrices. International Journal of Neutrosophic Science , () , 135-145 . DOI: https://doi.org/10.54216/IJNS.210413
    Anandhkumar M. , Harikrishnan T. , M. S. , Kamalakannan V. , Kanimozhi B. , Said B. [2023]. Reverse Sharp and Left-T Right-T Partial Ordering on Neutrosophic Fuzzy Matrices. International Journal of Neutrosophic Science. (): 135-145. DOI: https://doi.org/10.54216/IJNS.210413
    Anandhkumar, M. Harikrishnan, T. M., S. Kamalakannan, V. Kanimozhi, B. Said, B. "Reverse Sharp and Left-T Right-T Partial Ordering on Neutrosophic Fuzzy Matrices," International Journal of Neutrosophic Science, vol. , no. , pp. 135-145, 2023. DOI: https://doi.org/10.54216/IJNS.210413

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