摘要
研究了区间数判断矩阵的一致性和递推排序方法.根据区间数判断矩阵的概念给出了区间数判断矩阵的完全一致性定义,通过对完全一致性性质的讨论演绎出区间数判断矩阵的一致性和满意一致性定义及其判别方法,并且研究了一致性和满意一致性定义的合理性,提出了求解区间数判断矩阵排序向量的递推排序方法,最后用算例验证了方法的有效性.
The consistency and the recursive priority method of an interval number complementary judgment matrix were studied. According to the definition of an interval number complementary judgment matrix, the definition of complete consistency and satisfactory were introduced. Furthermore, the recursive method for the consistency of an interval number complementary judgment matrix was addressed from the perspective of complete consistency. Based on the interval-weight vector of the priority method, the method for recursive priorities of the interval number judgment matrix was proposed. Finally, a numerical example was given to illustrate the effectiveness of this method.
出处
《山东大学学报(理学版)》
CAS
CSCD
北大核心
2007年第11期89-93,共5页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(10671108)
山东省自然科学基金资助项目(Y2005A04)
关键词
区间数判断矩阵
一致性
特征向量
标准化
interval number judgment matrix
consistency
eigenvector
normalization