Super Fuzzy Matrix of Inverse in kth Order

R. Deepa, Dr. P. Sundararajan

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.


Keywords


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

Full Text:

PDF

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.




DOI: http://dx.doi.org/10.23755/rm.v46i0.1079

Refbacks

  • There are currently no refbacks.


Copyright (c) 2023 R. Deepa, Dr. P. Sundararajan

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.