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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 21 , Issue 2 , PP: 20-31, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

On various Inverse of Neutrosophic Fuzzy Matrices

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

  • 1 Department of Mathematics, IFET College of Engineering (Autonomous), Villupuram, Tamilnadu, India - (anandhkumarmm@gmail.com)
  • 2 Department of Mathematics, Sri Manakula Vinayagar Engineering College (Autonomous), Madagadipet Puducherry, India - (kanigopi.a20@gmail.com)
  • 3 Department of Mathematics, R.M.K College of Engineering and Technology - (chithra.sm@rmkcet.ac.in)
  • 4 Department of Mathematics, Panimalar Engineering College, Chennai, Tamilnadu, India - (vkamalakannan@panimalar.ac.in)
  • 5 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.210202

    Received: January 28, 2023 Revised: April 14, 2023 Accepted: May 19, 2023
    Abstract

    In this article, we discuss various Inverses Minimum norm g-inverse, Least square g-inverse, Moore Penrose inverse, Group Inverse, Generalized Symmetric Neutrosophic Fuzzy Matrices. Also we describes secondary k-column symmetric Neutrosophic fuzzy matrices are produced. It is discussed how s-k-column symmetric, s-column symmetric, k-column symmetric, and column symmetric Neutrosophic fuzzy matrices   relate to one another. For an Neutrosophic fuzzy matrices   to be an s-k-column symmetric Neutrosophic fuzzy matrices, necessary and sufficient requirements are identified.

     

    Keywords :

    Neutrosophic fuzzy matrices , Minimum norm g-inverse , Least square g-inverse , Moore Penrose  , inverse , Group Inverse , Column symmetric Neutrosophic fuzzy matrices.

    References

    [1] Ben Israel, A.and Greville, T.N.E(1974). Generalized inverses:Theory and Application,John Wiley,New York.

    [2] Kim K.H and Roush ,F.W.(1980) ‘’Generalized fuzzy matrices’’ Fuzzy set and sys 4:293-315

    [3] Cho, H.H(1993) ‘’Regular matrix in the semi group of all matrices ‘’ Lin.Alg.App.191:151-163

    [4] Cho, H.H(1999) ‘’Regular fuzzy matrices and fuzzy equation ‘’Fuzzy set sys 105:445-451

    [5] Sriram.S (2003). On generalized inverses of fuzzy matrices Ph.D Thesis Annamalai University.

    [6] Inbam.C (2004) ‘’Drazin inverse of fuzzy matrices’’ Annamalai University Science Journal pp 1-8

    [7] Inbam.C (2004) Contribution to the study on regular fuzzy matrices. P.hd Thesis Annamalai University

    [8] Meenakshi AR, Fuzzy Matrix: Theory and Applications, MJP Publishers, Chennai, 2008.

    [9] Meenakshi AR and Jaya Shree .D, On k-Range symmetric matrices, Proceedings of the National conference on

    Algebra and Graph Theory, MS University, 2009, 58-67

    [10] Atanassov K., , Intuitionistic Fuzzy Sets, Fuzzy Sets and System. (1983), 20, pp. 87- 96.

    [11] Zadeh L.A., Fuzzy Sets, Information and control.,(1965),,8, pp. 338-353.

    [12] M.Anandhkumar 1*, V.Kamalakannan2, S.M.Chithra3 , Broumi Said4, Pseudo Similarity of Neutrosophic Fuzzy matrices, (2023), International Journal of Neutrosophic Science, Volume 20 , Issue 4, PP: 191-196 ,

    Cite This Article As :
    Anandhkumar, M.. , Kanimozhi, B.. , M.Chithra, S.. , Kamalakannan, V.. , Said, Broumi. On various Inverse of Neutrosophic Fuzzy Matrices. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 20-31. DOI: https://doi.org/10.54216/IJNS.210202
    Anandhkumar, M. Kanimozhi, B. M.Chithra, S. Kamalakannan, V. Said, B. (2023). On various Inverse of Neutrosophic Fuzzy Matrices. International Journal of Neutrosophic Science, (), 20-31. DOI: https://doi.org/10.54216/IJNS.210202
    Anandhkumar, M.. Kanimozhi, B.. M.Chithra, S.. Kamalakannan, V.. Said, Broumi. On various Inverse of Neutrosophic Fuzzy Matrices. International Journal of Neutrosophic Science , no. (2023): 20-31. DOI: https://doi.org/10.54216/IJNS.210202
    Anandhkumar, M. , Kanimozhi, B. , M.Chithra, S. , Kamalakannan, V. , Said, B. (2023) . On various Inverse of Neutrosophic Fuzzy Matrices. International Journal of Neutrosophic Science , () , 20-31 . DOI: https://doi.org/10.54216/IJNS.210202
    Anandhkumar M. , Kanimozhi B. , M.Chithra S. , Kamalakannan V. , Said B. [2023]. On various Inverse of Neutrosophic Fuzzy Matrices. International Journal of Neutrosophic Science. (): 20-31. DOI: https://doi.org/10.54216/IJNS.210202
    Anandhkumar, M. Kanimozhi, B. M.Chithra, S. Kamalakannan, V. Said, B. "On various Inverse of Neutrosophic Fuzzy Matrices," International Journal of Neutrosophic Science, vol. , no. , pp. 20-31, 2023. DOI: https://doi.org/10.54216/IJNS.210202

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