Super Fuzzy Matrix of Inverse in kth Order

Authors

  • R. Deepa Excel Engineering College(Autonomous), Komarapalayam, Tamilnadu
  • Dr. P. Sundararajan Department of Mathematics, Arignar Anna Govt. Arts College, Namakkal. Tamilnadu,

DOI:

https://doi.org/10.23755/rm.v46i0.1079

Keywords:

inverse, k-regular, super fuzzy matrix, Fuzzy matrix, regular

Abstract

Unexpected event modelling is a affluent area of study in fuzzy matrix
(FM) modelling. Every fuzzy matrix may be shown as a multidimensional
cocept, but standard matrices cannot achieve this without
the proper scale. To solve this issue, a certain kind of classical fuzzy
matrix is required. In this study, the idea of an inverse of a k-regular
fuzzy matrix is introduced, and some of its key characteristics are
listed. As a result, the same regularity indicator is used to describe
a matrix. Investigation is also done on the relationship between the
regular, k-regular, and consistency of fuzzy matrices powers.

References

N. J. Abbasbandy .S and A. . M. Turning of reachable set in one dimensional fuzzy differential inclusions. Chaos Solitons Fract., 26:1337–1341, 2005.

Z. B and W. K. General fuzzy linear systems. Appl. Math. Comput., 181: 1276–1286, 2006.

D. D and P. H. Operations on fuzzy numbers. Journal of Syst. Sci., 9:613–626, 1978.

Deepa.R and Sundararajan.P. Inverse of k regular super fuzzy matrix. International Journal of Innovative Technology and Exploring Engineering, 9(5): 566–570, 2020.

K. J.B. Idempotents and inverses in fuzzy matrices. Journal of Malaysian Math., 6(2):57–61, 1983.

W. K and Z. B. Inconsistent fuzzy linear systems. Appl. Math. Comput., 181: 973–981, 2006.

S. F. Kandasamy W.B.V. and llanthenral K. Elementary Fuzzy Matrix Theory and Fuzzy Models for Social Scientists. Los Angeles, New York, 2007.

Kaufmann and M. Gupta. Introduction Fuzzy Arithmetic. Van Nostrand Reinhold, New York, 1985.

T. M.G. Convergence of power of fuzzy matrix. J. of Math. Anal. Appl., 57: 476–486, 1977.

R. M.Z. and E. E.G. The determinant and adjoint of a square fuzzy matrix. Fuzzy Sets and Systems, 61:297–307, 1994.

H. P. Matrix Algebra for Social Scientists. Holt, Rinehart andWinston, New York, 1963.

Ravi.J and et. al. Fuzzy graph and their applications: A review. International Journal for Science and Advance Research in Technology, 8(1):107–111, 2022.

Downloads

Published

2023-03-20

Issue

Vol. 46 (2023): Special Issue: Advance of Mathematics in Science and Engineering

Section

Volume 46-2023

License

This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge. The journal is committed to real and immediate open access for academic work. All of the journal articles are free to access immediately from the date of publication. There are no charge for readers to download articles and reviews for their own scholarly use. Benefits of open access for authors, include:

  • Free access for all users worldwide
  • Increased visibility and readership
  • Rapid publication
  • No spatial constraints
  • Authors can share their research papers on their personal web-pages (i.e. ResearchGate, etc.)

Ratio Mathematica publishes open access articles under the terms of the Creative Commons Attribution (CC BY) License. The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open access article, as long as the author is properly attributed. Copyright on any research article published by Ratio Mathematica is retained by the author(s). Authors grant Ratio Mathematica a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified. 
For further information visit: https://creativecommons.org/licenses/by/3.0/. The following logo will appear in any paper that will be published from the volume number 31/2016 onwards.