【摘要】 针对多属性决策中模糊判断矩阵的一致性问题,提出了影子排序因子及增序模糊判断矩阵的概念,证明了模糊判断矩阵满足满意一致性的充要条件。根据该充要条件给出了一种对模糊判断矩阵进行满意一致性检验的简便算法,最后结合算例介绍了模糊判断矩阵在满足满意一致性时的排序方法,并分析了其在不满足满意一致性时影响其满意一致性的可能因素。这种算法不仅较为简便实用,而且为专家对原始判断信息进行针对性修正提供了参考依据,对方案排序研究提供了新的思路。更多还原

【Abstract】 Aiming at deciding consistency of fuzzy judgement matrix in multi-attribute decision making,the concepts of shadow sorting index and increasing order fuzzy judgement matrix are provided firstly.Then,a sufficient and essential condition for satisfying consistency of fuzzy judgement matrix is proved and an advantageous judgement approach on satisfying consistency is proposed.According to the concepts and theorem,if satisfying consistency is fulfilled,the sorting of the attributes can be obtained,otherwise the factors can be analyzed which possibly effect the satisfying consistency.Finally,two examples are given to illustrate the results.The algorithm is not only simple and effective,but also can provides a new idea for the research on attributes sorting or some references for experts to modify the original judgement matrix.更多还原