摘要
讨论了标度与判断矩阵不一致的关系,把判断矩阵的不一致分成矛盾不一致和标度不一致两类.通过扩展五标度等级对比判断矩阵,总共构造了75000（5!×5^4）个没有矛盾和逻辑错误的判断矩阵,并把他们分成5^4个等价类进行计算仿真,来研究由标度导致的不一致.通过比较发现9/9-9/1标度,10/10-18/2标度,指数标度的平均一致性相差不大,都比最常用的1-9标度具有明显好的一致性.
This paper first reveals the relation between scales and the consistency of judgement matrices. Then we construct 75000 judgement matrices that are neither random nor illogical and prove that these judgement matrices can be classified into 5^4 equivalents. By computing the consistency index of these judgement matrices, we find that 9/9-9/1 scale, 10/10-18/2 scale and power scale are better than 1-- 9 scale. The result is of importance to the analytic hierarchy process.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第24期82-86,共5页
Mathematics in Practice and Theory
关键词
层次分析法
标度
一致性
the Analytic Hierarchy Process
scale
consistency
