In this paper, a new approach for the mixed zero-one fuzzy goal programs is presented. This approach allows the decision-maker to set alternative fuzzy goal constraints to his original ones. The alternative fuzzy goal constraints are considered, instead of the original ones, if certain situation constraints are satisfied. In addition to the linearization technique for the mixed zero-one fuzzy goal programs, which has been given by Chang [C.T. Chang, Binary fuzzy goal programming, European Journal of Operational Research, 180 (1), (2007), 29-37] another linearization technique for the binary goal programs is presented. The suggested approach of using alternative fuzzy goal constraints by simultaneously utilizing the two linearization techniques is illustrated by a numerical example.