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关于判断阵的若干结论
引用本文:冯舜玺.关于判断阵的若干结论[J].天津师范大学学报(自然科学版),1996(1).
作者姓名:冯舜玺
作者单位:天津师范大学数学系
摘    要:构造判断阵是层次分析法的关键环节当因素个数大于3时按通常方法构造的判断阵却一般不再是一致性矩阵,这就给其后的进一步计算增加了工作量并降低了精度,本文分析其中的原因,指出能得到一致性矩阵的若干情形.

关 键 词:判断阵,一致性矩阵,偏序集,层次分析法(AHP),快速排序,选择排序

ON PAIRED COMPARISON MATRIX
Feng Shunxi.ON PAIRED COMPARISON MATRIX[J].Journal of Tianjin Normal University(Natural Science Edition),1996(1).
Authors:Feng Shunxi
Abstract:Structure of paired comparison matrix is one of the most important part of AHP. However, the matrices constructed by common method are, in general, not consistent when the number of factors is greater than three, which increases the amount of calculation and decreases the method accuracy. In this paper, we analyse the commonly used scaling system, point out several cases for paired comparison matrix to be consistent.
Keywords:paired matrix consistent matrix partially ordered set analytic hierarchy process (AHP) quick sort selection sort  
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