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Signed decomposition of fully fuzzy linear systems. (English) Zbl 1177.65046
Summary: Fuzzy methods constitute an important mathematical and computational tool for modeling real-world systems with uncertainties of parameters. In this paper, we discuss about fully fuzzy linear systems (FFLS) in the form \(Ax = b\). A novel method for finding the non-zero fuzzy solutions of these systems is proposed. We suppose that all elements of the coefficient matrix \(A\) are positive and we employ a parametric form linear system. Finally, numerical examples are presented to illustrate this approach and its results are compared with other methods.

MSC:
65F05 Direct numerical methods for linear systems and matrix inversion
15B15 Fuzzy matrices
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