The robust stability of interval matrices has been studied widely. In this paper, we extend the study of interval matrices to fuzzy matrices. The methods of stability analysis for an interval matrix is applied to determine the degree of stability confidence for the corresponding fuzzy matrix. Based on the work of Nguyen and Kreinovich (1994), we state two algorithms to determine the degree of stability confidence for fuzzy matrices. The degree presents the measure of the stability possibility or the stability confidence for the fuzzy matrix.