Least Squares Solutions of Inconsistent Fuzzy Linear Matrix Equations

هدف اصلي در اين مقاله بحث در مورد جوابهاي كمترين مربعات معادلات ماتريسي نا متقارن به فرممي باشددر AXB=C و همكاران بيان شده استفاده مي شود. با استفاده از روش جانشاني Allahviranloo اين مقاله از تعريف ضرب كرونكر كه توسط 2 از معادلات خطي تبديل و بااستفاده از روش كمترين مربعات به يافتن جواب پرداخته me*2nr دستگاه را به يك دستگاه كريسپ مي شود.

The inconsistent fuzzy linear matrix equations (shown as IFLME) of the form AXB = C for finding its fuzzy least squares solutions is studied in this paper. The AXB = C is rearranged 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 of linear equations and found its fuzzy least squares solutions. Also, sufficient condition for the existence of strong fuzzy least squares solutions are derived, and a numerical procedure for calculating the solutions is designed.