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Matrix Inversion Method for Solving Fully Fuzzy Linear Systems with Triangular Fuzzy Numbers

by S. Muruganandam, K. Abdul Razak
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 65 - Number 4
Year of Publication: 2013
Authors: S. Muruganandam, K. Abdul Razak
10.5120/10911-5843

S. Muruganandam, K. Abdul Razak . Matrix Inversion Method for Solving Fully Fuzzy Linear Systems with Triangular Fuzzy Numbers. International Journal of Computer Applications. 65, 4 ( March 2013), 9-11. DOI=10.5120/10911-5843

@article{ 10.5120/10911-5843,
author = { S. Muruganandam, K. Abdul Razak },
title = { Matrix Inversion Method for Solving Fully Fuzzy Linear Systems with Triangular Fuzzy Numbers },
journal = { International Journal of Computer Applications },
issue_date = { March 2013 },
volume = { 65 },
number = { 4 },
month = { March },
year = { 2013 },
issn = { 0975-8887 },
pages = { 9-11 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume65/number4/10911-5843/ },
doi = { 10.5120/10911-5843 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:17:45.242454+05:30
%A S. Muruganandam
%A K. Abdul Razak
%T Matrix Inversion Method for Solving Fully Fuzzy Linear Systems with Triangular Fuzzy Numbers
%J International Journal of Computer Applications
%@ 0975-8887
%V 65
%N 4
%P 9-11
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Linear systems have important applications to many branches of Science and Engineering. In many applications, atleast some of the parameters of the system are represented by fuzzy rather than crisp numbers. This paper, discusses fully fuzzy linear systems with triangular fuzzy numbers. A matrix inversion method is proposed for solving Fully Fuzzy Linear System (FFLS) of equations. Finally, the method is illustrated by solving a numerical example.

References
  1. Abbasbandy S. , Ezzati, R. , Jofarian, A. , LU decomposition method for solving fuzzy systems of linear equations, Applied Mathematics and Computations, 172, 633-643 (2006).
  2. Abbasbandy S. , Jofarian, A. Ezzati, R. , Conjugate Gradient method for fuzzy systematic positive definite system of linear equations, Applied Mathematics and Computations, 171, 1184-1191 (2005).
  3. Abbasbandy S. , Jofarian, A. , Steepest descent method for system of fuzzy linear equations, Applied Mathematics and Computations, 175, 823-833 (2006).
  4. Allhvirabloo, T. , Numerical methods for fuzzy system of linear equations, Applied Mathematics and Computation, 155, 493-502 (2004).
  5. Buckley, J. J. , Qu, Y. , Solving Systems of linear fuzzy equations, Fuzzy sets and systems, 43, 33-43 (1991).
  6. Dehghan, M. , Hashemi, B. , Ghatee, M. , Computational Methods for solving fully fuzzy linear systems, Applied Mathematics and Computation, 179, 328-343 (2006).
  7. Dehghan, M. , Hashemi, B. , Iterative Solution of fuzzy linear systems, Applied Mathematics and Computation, 175, 645-674 (2006).
  8. Dehghan, M. , Hashemi, B. , Solution of the fully fuzzy linear systems using the decomposition procedure, Applied Mathematics and Computation, 182, 1568-1580 (2006).
  9. Dubois, D. , Prade, H. , Operations on fuzzy numbers, J. Systems Sci. , 9 (1978) 613-626.
  10. Friedman, M. , Ming, M. , Kandel, A. , Fuzzy Linear Systems, Fuzzy sets and systems, 96, 201-209 (1998).
  11. Kauffman, A. , Gupta, M. M. , Introduction to fuzzy Arithmetic: Theory and Applications, Van Nostrand Reinhold, New York (1991).
  12. Matinfar, M. , Nasseri, S. H. , Sohrabi, M. , Solving fuzzy linear system of equations by using Households decomposition method, Applied Mathematical Sciences, 51, 2569-2575 (2008).
  13. Miao, S-X. , Zheng, B. , Wang, K. , Block SOR methods for fuzzy linear systems, Journal of Applied Mathematics and Computing, 26, 201-218 (2008).
  14. Nasseri, S. H. , Sohrabi, M. , Ardil, E. , Solving fully fuzzy linear system by use of a certain decomposition of the coefficient matrix, International Journal of Computational and Mathematical Sciences, 2, 140-142 (2008).
  15. Nasseri, S. H. , Zahmatkesh, F. , Huang method for solving fully fuzzy linear system of equations, Journal of Mathematics and Computer Science, 1, 1-5 (2010).
  16. Zadeh, L. A. , The concept of a linguistic variable and its application to approximate reasoning, Inform. Sci. , 8 (1975) 199-249.
Index Terms

Computer Science
Information Sciences

Keywords

Triangular fuzzy numbers fuzzy arithmetic fully fuzzy linear systems matrix inversion method

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