International Journal of Computational Intelligence Systems

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Volume 9, Issue 5, September 2016, Pages 971 - 983

Uzawa Algorithms for Fully Fuzzy Linear Systems

Authors
H. Zareamoghaddam1, , A.T. Chronopoulos2, M. Nouri Kadijani1, Z. Zareamoghaddam1
1Department of Mathematics, Kashmar Branch, Islamic Azad University, Kashmar, Iran.
2Department of Computer Science, University of Texas at San Antonio, 1 UTSA Circle, San Antonio, TX 78249, USA.
Corresponding author’s (H. Zareamoghaddam’s) E-mail: zareamoghaddam@yahoo.com
Corresponding Author
H. Zareamoghaddam
Received 2 January 2015, Accepted 1 March 2016, Available Online 1 September 2016.
DOI
10.1080/18756891.2016.1237194How to use a DOI?
Keywords
FFLS; Uzawa; iterative methods; trapezoidal fuzzy numbers; fuzzy systems
Abstract

Recently, there have been many studies on solving different kinds of fuzzy equations. In this paper, the solution of a trapezoidal fully fuzzy linear system (FFLS) is studied. Uzawa approach, which is a popular iterative technique for saddle point problems, is considered for solving such FFLSs. In our Uzawa approach, it is possible to compute the solution of a fuzzy system using various relaxation iterative methods such as Richardson, Jacobi, Gauss-Seidel, SOR, SSOR as well as Krylov subspace methods such as GMRES, QMR and BiCGSTAB. Krylov subspace iterative methods are known to converge for a larger class of matrices than relaxation iterative methods and they exhibit higher convergence rates. Thus, they are more widely used in practical problems. Numerical experiments are to illustrate the performance of our suggested methods.

Copyright
© 2016. the authors. Co-published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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<Previous Article In Issue
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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
9 - 5
Pages
971 - 983
Publication Date
2016/09/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.1080/18756891.2016.1237194How to use a DOI?
Copyright
© 2016. the authors. Co-published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - H. Zareamoghaddam
AU  - A.T. Chronopoulos
AU  - M. Nouri Kadijani
AU  - Z. Zareamoghaddam
PY  - 2016
DA  - 2016/09/01
TI  - Uzawa Algorithms for Fully Fuzzy Linear Systems
JO  - International Journal of Computational Intelligence Systems
SP  - 971
EP  - 983
VL  - 9
IS  - 5
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2016.1237194
DO  - 10.1080/18756891.2016.1237194
ID  - Zareamoghaddam2016
ER  -