<p>This paper aims to study the local stabilization problem of discrete-time fuzzy systems via a quadratically structural approach. The proposed methods tackle the conventional analysis deriving stabilization conditions in multiple summations by relaxed stabilization conditions in a quadratic structure. Moreover, an attempt to utilize the inherent properties of the quadratic structure is first introduced to construct a feasible problem in the form of linear matrix inequalities. These endeavors allow optimization problems to maximize a region of attraction to be achieved with relaxation. Finally, the effectiveness of the proposed methods is discussed by illustrative examples.</p>