Gram-schmidt Approach for Linear System of Equations with Fuzzy Parameters
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Authors
S. H. Nasseri
- Department of Mathematics and Computer Sciences, Mazandaran University, P.O. Box 47415-1468, Babolsar, Iran
M. Sohrabi
Abstract
In this paper, we focus on solving linear system of equations with fuzzy parameters. We employ Dubois
and Prades approximate arithmetic operators on LR fuzzy numbers to find a positive fuzzy vector \(\tilde{x}\) which
satisfies \(\tilde{A}\otimes \tilde{x}=\tilde{b}\), where \(\tilde{A}\)
and \(\tilde{b}\)
are the fuzzy matrix and vector, respectively. We shall illustrate our
method by solving some numerical examples.
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ISRP Style
S. H. Nasseri, M. Sohrabi, Gram-schmidt Approach for Linear System of Equations with Fuzzy Parameters, Journal of Mathematics and Computer Science, 1 (2010), no. 2, 80--89
AMA Style
Nasseri S. H., Sohrabi M., Gram-schmidt Approach for Linear System of Equations with Fuzzy Parameters. J Math Comput SCI-JM. (2010); 1(2):80--89
Chicago/Turabian Style
Nasseri, S. H., Sohrabi, M.. "Gram-schmidt Approach for Linear System of Equations with Fuzzy Parameters." Journal of Mathematics and Computer Science, 1, no. 2 (2010): 80--89
Keywords
- Fully fuzzy linear system
- Fuzzy number
- QR-decomposition
- Gram-Schmidt method.
MSC
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