中文摘要：

基于可信性分布理论,将传统的模糊多属性决策进行扩展,针对模糊变量的排序问题,类比于随机变量排序模型中的随机优势方法,提出了能够将任意模糊变量加以区分和排序的三类模糊优势模型。证明了使用三类模糊优势模型针对等腰三角模糊变量排序的充分性定理。通过将上述模糊变量排序方法在生产线绩效评估案例中的应用,展示了实际生产中使用模糊优势模型的步骤,验证了此类优势模型的有效性,为模糊变量的比较研究提供了一种可行的途径。

英文摘要：

Based on the theory of credibility distribution, the traditional fuzzy multi-attribute decision making approa ches were extended. Aiming at the scheduling problem of fuzzy variables, three categories of fuzzy dominance models which could distinguish any fuzzy variable were proposed by comparing with the stochastic dominance method of stochastic variable model. Furthermore, the sufficient theorem of three fuzzy dominance models on ranking orders of isosceles triangular fuzzy variables was proved. Through applying the proposed method in product line＇s performance evaluation, the steps of fuzzy dominance model in actual production was demonstrated. The effectiveness of these kinds of dominance model was verified, and a feasible way for comparative studies of fuzzy variables was provided.