fuzzy system of linear equations (FSLE) has been first studied by M. Friedman
, M. Ma
and A. Kandel
[Fuzzy Sets Syst. 96, No. 1, 201–209 (1998); comment and reply ibid. 140, 559–561 (2003; Zbl 0929.15004
)]. In the paper under review, the general
FSLE is considered, and its weak solution is expressed by the generalized inverse of the coefficient matrix. Conditions for the existence of a fuzzy solution are derived and a numerical procedure for calculating the solution is designed. In case
the least-squares solution is found by applying an orthogonal matrix to the coefficient matrix.