Abstract
In this paper the exact algebraic characterization (w.r.t. a generalized \(\{1\}\)-inverse) of any solution of a general \(n\times n\) fuzzy linear system, whose coefficient matrix is a real matrix, singular or non-singular, is presented. A new method for obtaining exact solutions of a general \(n\times n\) fuzzy linear system is introduced. If the associated matrix is singular, infinitely many solutions are obtained, what is illustrated in given examples.
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