构造一致性判断矩阵的序关系分析法  

Rank Correlation Analysis of Formation of Consistent Judgment Matrix

作　　者：王学军[1] 郭亚军[1] 兰天[1] 

机构地区：[1]东北大学工商管理学院,辽宁沈阳110004

出　　处：《东北大学学报（自然科学版）》2006年第1期115-118,共4页Journal of Northeastern University(Natural Science)

基　　金：科技部2003年科技兴贸项目(2003EE550001)

摘　　要：针对构造判断矩阵很难达到一致性的难题以及对不一致判断矩阵修正方法中修正结果不理想的问题,提出了构造判断矩阵的序关系分析法.指出了构造判断矩阵时产生不一致的原因.在充分挖掘矩阵构造者信息的基础上,首先建立起指标间的序关系,由此构造出一致性的判断矩阵,整个过程都由矩阵构造者完成,且方法清晰,简单,操作性强.通过算例分析,说明了该方法的有效性和实用性.The analysis of rank correlation is proposed to form judgment matrix of which the consistency is very difficult to realize and the correction of inconsistency is unsatisfactory until now. The reason why the judgment matrix is inconsistent when forming it is analyzed. Discussing fully the information on matrix maker, the rank correlation of all indexes was found and set up so as to form the consistent judgment matrix of which the whole procedure should be done by the matrix maker himself. In such a way the procedure is clear, simple and highly exercisable. The example given shows its validity and the practicability.

关 键 词：一致性 序关系 判断矩阵 G1法 权重 

分 类 号：O159[理学—数学]