LAUSR

There are many reported studies, in which researchers tried to solve a system of fuzzy linear equations numerically. In this paper, a numerical method for solving fuzzy system $$A{\tilde{X}} B={\tilde{C}}$$AX~B=C~ of matrix equations is investigated. As it can be observed in the form of these equations, the unknown matrix X, which is the solution to these equations, has a left-hand coefficient matrix A and a right-hand coefficient matrix B. Such character makes these equations different from other equations in the form of $$A{\tilde{X}}={\tilde{B}}$$AX~=B~. In the aforesaid equations, A and B are crisp matrices and $${\tilde{C}}$$C~ and $${\tilde{X}}$$X~ are matrices with fuzzy arrays. In this work using the parametric form of fuzzy linear equations and presenting an algorithm, two systems of equations will be developed and solved afterward. A comparison of the number of multiplications in this method with a different one will be drawn afterward. Some numerical examples are given to illustrate the effectiveness of the proposed method.