A MATHEMATICAL TREATMENT OF INCONSISTENCY IN THE ANALYTIC HIERARCHY PROCESS

被引:23
作者
DADKHAH, KM [1 ]
ZAHEDI, F [1 ]
机构
[1] UNIV MASSACHUSETTS,DEPT MANAGEMENT SCI,BOSTON,MA 02125
关键词
D O I
10.1016/0895-7177(93)90180-7
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper presents a simple mathematical exposition foor some of theorems regarding the treatment of inconsistency in AHP. It provides a rigorous mathematical proof that the largest eigenvalue reaches its global minimum when the input matrix is consistent. Furthermore, the paper provides an algorithm for moving towards consistency and shows mathematically why the algorithm works.
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页码:111 / 122
页数:12
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