Least Squares Solutions of Inconsistent Fuzzy Linear Matrix Equations

The inconsistent fuzzy linear matrix equations (shown as iflme) of the form axb = cfor finding its fuzzy least squares solutions is studied in this paper. the axb = c isrearranged with the kronecker product that was proposed by allahviranloo et al. [8].then, by using the embedding approach, we extend it into a 2me × 2nr crisp system oflinear equations and found its fuzzy least squares solutions. also, sufficient condition forthe existence of strong fuzzy least squares solutions are derived, and a numerical procedurefor calculating the solutions is designed.