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Published in:
17-08-2016 | Methodologies and Application
Algebraic solution of fuzzy linear system as: \(\widetilde{A} \widetilde{X}+ \widetilde{B} \widetilde{X}=\widetilde{Y}\)
Published in: Soft Computing | Issue 24/2017
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Abstract
In this paper, fuzzy linear system as \(\widetilde{A} \widetilde{X}+ \widetilde{B} \widetilde{X}=\widetilde{Y}\) in which \(\widetilde{A}, \widetilde{B}\) are \(n \times n\) fuzzy matrices and \(\widetilde{X}, \widetilde{Y}\) are \(n \times 1\) fuzzy vectors is studied. A new method to solve such systems based on interval linear system, interval inclusion linear system is proposed. Numerical examples are given to illustrate the ability of the proposed method.