fa عمومى General پژوهشي Research As can be seen from the definition of extended operations on fuzzy numbers, subtraction and division of fuzzy numbers are not the inverse operations to addition and multiplication . Hence, to solve the fuzzy equations or a fuzzy system of linear equations analytically, we must use methods without using inverse operators. In this paper, a novel method to find the solutions in which 0 is not the inner point of supports, of fully fuzzy linear systems (shown as FFLS ) is proposed, if they exist by an analytic approach. The system's parameters were splitted into two groups of nonpositive and nonnegative by solving a multi objective linear programming problem, MOLP , and employing an embedding method to transform n× n FFLS to 2n× 2n parametric form linear system and hence, transforming operations on fuzzy numbers to operations on functions. And finally, numerical examples are used to illustrate this approach. Keywords: Fuzzy Numbers, Fully Fuzzy Linear System, Systems of Fuzzy Linear Equations, Embedding Method, Splitting Method. 35 49 http://ijorlu.lahijan.iau.ir/browse.php?a_code=A-10-2-9&slc_lang=fa&sid=1 T. Allahviranloo 100319475328460072 100319475328460072 Yes N. Mikaeilvand 100319475328460073 100319475328460073 No F. Hoseinzadeh Lotfi 100319475328460074 100319475328460074 No . Fallah Jelodar 100319475328460075 100319475328460075 No