A fuzzy job-shop satisfaction scheduling problem with a trapezoid due date soft constraint is discussed, where the uncertain processing times of operations are described by triangle fuzzy numbers. The pessimistic satisfaction degree in terms of earlier or later completion time than the due date is realized by identifying two pessimistic points while the possibility for the most possible result being considered, thus the satisfaction scheduling optimization objective is established to maximize the combination of three point satisfaction degrees. The simulation results show that the proposed three-point satisfaction-degree scheduling model can greatly improve the client’s most possible satisfaction degree while keeping the decision maker’s risk-resisting preference, and can realize a more comprehensive satisfaction schedule compared with a traditional pessimistic scheduling model.