Stability of the fuzzy solution of systems of linear algebraic equations with fuzzy coefficients (Q1823620)

Systems of linear constraints with fuzzy coefficients were considered by \textit{D. Dubois} and \textit{H. Prade} [Fuzzy Sets Syst. 3, 37-48 (1980; Zbl 0425.94029)] and later by \textit{J. Ramík} and \textit{J. Římánek} [ibid. 16, 123-138 (1985; Zbl 0574.04005)]. Here the consideration of fuzzy solution of such systems is treated as a method of regularization of ill-posed linear systems. Using fuzzy coefficients in the form of triangle or trapezium symmetric fuzzy numbers the authors describe the fuzzy solution and prove its stability with respect to a displacement of centers of fuzzy coefficients.