On various Inverse of Neutrosophic Fuzzy Matrices

M.; B.; S.; V.; broumi

doi:https://doi.org/10.54216/IJNS.210202

Full Length Article

Volume 21 • Issue 2 • PP: 20-31 • 2023

On various Inverse of Neutrosophic Fuzzy Matrices

M. Anandhkumar ^1*

mail

,

B. Kanimozhi ²

mail

,

S. M.Chithra ³

mail

,

V. Kamalakannan ⁴

mail

,

broumi said ⁵

mail

¹Department of Mathematics, IFET College of Engineering (Autonomous), Villupuram, Tamilnadu, India

²Department of Mathematics, Sri Manakula Vinayagar Engineering College (Autonomous), Madagadipet Puducherry, India

³Department of Mathematics, R.M.K College of Engineering and Technology

⁴Department of Mathematics, Panimalar Engineering College, Chennai, Tamilnadu, India

⁵Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.210202

format_quote Cite this article

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

View PDF open_in_new

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&nbsp 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

Choose your preferred format

format_quote

Anandhkumar, M., Kanimozhi, B., M.Chithra, S., Kamalakannan, V., said, broumi. "On various Inverse of Neutrosophic Fuzzy Matrices." International Journal of Neutrosophic Science, vol. Volume 21, no. Issue 2, 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, Volume 21(Issue 2), 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 Volume 21, no. Issue 2 (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, Volume 21(Issue 2), pp. 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. 2023;Volume 21(Issue 2):20-31. DOI: https://doi.org/10.54216/IJNS.210202

M. Anandhkumar, B. Kanimozhi, S. M.Chithra, V. Kamalakannan, b. said, "On various Inverse of Neutrosophic Fuzzy Matrices," International Journal of Neutrosophic Science, vol. Volume 21, no. Issue 2, pp. 20-31, 2023. DOI: https://doi.org/10.54216/IJNS.210202

Digital Archive Ready