A method forfully fuzzy linear system of equations

Fuzzy linear systems of equations play amajor role in various applications such as ¯nancial,economics, engineering and physics. We employ newproduct-type operation which are introduced and studiedin [4], as e.g. the cross product of fuzzy numbers thatfrom the theoretical and practical point of view in fuzzyarithmetic, is e±ciently of the multiplication based onZadeh's extension principle for ¯nding a fuzzy vector xwhich satis¯es Ax = b, where An £ n and b are a fuzzymatrix and a fuzzy vector, respectively. We transformfully fuzzy linear system of equations (FFLSEs) toextended crisp linear system in [12]. This systems canbe solve as numerically, see [1, 2, 3, 6].

Keywords:

Fully fuzzy linear system of equations , Cross product , Fuzzy number , Fuzzy matrix