Coating and ideal solutions for fuzzy systems of linear equations

In this paper, we study a square fuzzy system of linear equations (FSLE). We first, introduce shortcomings applying the algebraic solutions. In order to overcome these shortcomings, we suggest coating solution concept as a fuzzy number vector. We next, prove existence and uniquely and also, introduce properties required of it, in details. Finally, we introduce ideal solution for a FSLE based on algebraic and coating solutions.