关键词: 6点模糊数, 梯形模糊数, 交货满意度, 模糊截集, 稳定性

Abstract: In this paper, by considering the imprecise nature of the parameters in real-word problems, job shop scheduling problems with fuzzy processing time and fuzzy due date are formulated. The uncertainty processing time of operations is described by six-point fuzzy number and the due date is described by trapezoid fuzzy number, then the satisfaction-degree is presented and the formulated job shop scheduling problems are interpreted so as to maximize the average satisfaction-degree index. On the basis of the fuzzy cut, a stability measure is presented to evaluate the stability of the optimal solutions by solving the fuzzy job shop scheduling problems. Through the experimental results, the optimal solutions by solving the formulated model in this paper have the better stability measure.

Key words: six-point fuzzy number, trapezoid fuzzy number, satisfaction-degree, fuzzy cut, stability