区间数判断矩阵的满意一致性及排序方法

Satisfactory Consistency of Interval Number Comparison Matrix and Order-sorting Method

研究了区间数判断矩阵的一致性及排序问题.给出了满意一致性判断矩阵的判别方法,并且证明了此判别方法还适用于区间数判断矩阵的一致性检验.同时,对具有一致性或满意一致性的区间数判断矩阵建立了优化模型,决策者可以根据自己对一致性程度的要求来求解区间数排序向量.最后,通过算例验证了方法的有效性、适用性.

The consistency of interval number comparison matrix and order-sorting method were studied in this paper.The method used to saticfactory consistency matrix was proposed and it was tesitified that this method can be applid to the consistency of interval number comparison matrix.An optimizded model was developed in light of interval number comparison matrix which has consistency or satifactory consistency.Decision makers can solve the order-sorting vector of inernal number based on their own requirement on the consistency.Finnaly,the validity and practicality of the proposed methods were validated by arithmetical examples.