Abstract: In this paper,we first give the solution concept of the fuzzy matrix equation Ax=b. Secondly,we discuss the property of the solution and give the method of solving the fuzzy matrix equation Ax=b. Finally,we present an application of solving fuzzy matrix equation Ax=b to the fuzzy linear regression analysis,establish a new model of fuzzy linear regression,and introduce a new method of estimating parameters. 

Key words: fuzzy number, fuzzy matrix equation, fuzzy linear regression analysis