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NUMERCAL SOLUTION FOR FUZZY LINEAR SYSTEMS OF EQUATIONS | ||
| Al-Qadisiyah Journal of Pure Science | ||
| Volume 30, Issue 2, December 2025, Pages 11-19 PDF (667.35 K) | ||
| DOI: 10.29350/qjps.2025.190619 | ||
| Abstract | ||
| Systems of linear equations, characterized by uncertainty in their parameters, play a crucial role in various problems in economics and finance. In this paper, we explore fuzzy systems of linear equations, where the coefficients are represented as fuzzy numbers. We utilize a Sparse Matrix Techniques to address the uncertainties inherent in these systems. Additionally, we apply LU Decomposition techniques to transform the fuzzy matrix A in the equation Ax = b into two triangular fuzzy matrices, L and U, such that A = LU. This dual approach allows us to effectively solve the fuzzy system of linear equations, combining the strengths of Sparse Matrix Techniques for handling non-linearities and the structured method of LU decomposition for linear transformations. | ||
| Keywords | ||
| fuzzy matrix; fuzzy linear system; decomposition. Sparse Matrix Techniques | ||
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