with fuzzy right-hand side (
are vectors of fuzzy numbers) were introduced by M. Friedman, M. Ma
and A. Kandel
[Fuzzy Sets Syst. 96, No. 2, 201–209 (1998); comment and reply ibid. 140, 559–561 (2003; Zbl 0929.15004
)], where the method of solutions based on an associated
and the notions of weak and strong fuzzy solutions was presented. These results are now generalized to the case of an
by using the generalized inverses of the associated matrix
(in particular the Moore-Penrose inverse).