The Jensen functional equation is
where the unknown is a mapping between linear spaces. In this paper, however, the unknown is considered as a mapping between fuzzy-normed linear spaces. The author comes up with an alternative proof and a slight improvement of a recently obtained generalized Hyers-Ulam-Rassias stability of such Jensen equation [A. K. Mirmostafaee, M. Mirzavaziri and M. S. Moslehian, “Fuzzy stability of the Jensen functional equation”, Fuzzy Sets Syst. 159, No. 6, 730–738 (2008; Zbl 1179.46060)]. The proof is based, besides several ideas of the original approach, on the fixed-point theory for the probabilistic metric spaces.