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.


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