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International Journal of Neutrosophic Science
Volume 21 , Issue 2, PP: 20-31 , 2023 | Cite this article as | XML | Html |PDF

Title

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)

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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 :
Style #
MLA M. Anandhkumar, B. Kanimozhi, S. M.Chithra, V. Kamalakannan, Broumi Said. "On various Inverse of Neutrosophic Fuzzy Matrices." International Journal of Neutrosophic Science, Vol. 21, No. 2, 2023 ,PP. 20-31 (Doi   :  https://doi.org/10.54216/IJNS.210202)
APA M. Anandhkumar, B. Kanimozhi, S. M.Chithra, V. Kamalakannan, Broumi Said. (2023). On various Inverse of Neutrosophic Fuzzy Matrices. Journal of International Journal of Neutrosophic Science, 21 ( 2 ), 20-31 (Doi   :  https://doi.org/10.54216/IJNS.210202)
Chicago M. Anandhkumar, B. Kanimozhi, S. M.Chithra, V. Kamalakannan, Broumi Said. "On various Inverse of Neutrosophic Fuzzy Matrices." Journal of International Journal of Neutrosophic Science, 21 no. 2 (2023): 20-31 (Doi   :  https://doi.org/10.54216/IJNS.210202)
Harvard M. Anandhkumar, B. Kanimozhi, S. M.Chithra, V. Kamalakannan, Broumi Said. (2023). On various Inverse of Neutrosophic Fuzzy Matrices. Journal of International Journal of Neutrosophic Science, 21 ( 2 ), 20-31 (Doi   :  https://doi.org/10.54216/IJNS.210202)
Vancouver M. Anandhkumar, B. Kanimozhi, S. M.Chithra, V. Kamalakannan, Broumi Said. On various Inverse of Neutrosophic Fuzzy Matrices. Journal of International Journal of Neutrosophic Science, (2023); 21 ( 2 ): 20-31 (Doi   :  https://doi.org/10.54216/IJNS.210202)
IEEE M. Anandhkumar, B. Kanimozhi, S. M.Chithra, V. Kamalakannan, Broumi Said, On various Inverse of Neutrosophic Fuzzy Matrices, Journal of International Journal of Neutrosophic Science, Vol. 21 , No. 2 , (2023) : 20-31 (Doi   :  https://doi.org/10.54216/IJNS.210202)
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