Gram-schmidt Approach for Linear System of Equations with Fuzzy Parameters


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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