Robust estimation of priorities in the AHP
Robust estimation of priorities in the AHP
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DOI：
10.1016/s0377-2217(01)00071-6
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发表时间：
2002-02-16
影响因子：
6.4
通讯作者：
Conklin, WM
中科院分区：
文献类型：
--
作者：
Lipovetsky, S;Conklin, WM
层次分析法（AHP）的成对比较矩阵被认为是一个列联表，有助于识别从法官那里得到的不寻常或错误的数据。提出了用于鲁棒估计优先向量的特殊技术。它们包括将萨特矩阵转换为偏好份额矩阵，并解决为转换后的矩阵设计的特征问题。我们还引入了一个产生鲁棒优先级估计的优化目标。用AHP方法对数值结果进行了比较。比较表明，鲁棒估计产生的优先向量不容易受到成对比较矩阵元素之间可能误差的影响。(C) 2002 Elsevier Science B.V.版权所有
A pair-wise comparison matrix of the Analytic Hierarchy Process (AHP) is considered as a contingency table that helps to identify unusual or false data elicited from a judge. Special techniques are suggested for robust estimation of priority vectors. They include transformation of a Saaty matrix to matrix of shares of preferences and solving an eigenproblem designed for the transformed matrices. We also introduce an optimizing objective that produces robust priority estimation. Numerical results are compared using the AHP with these differing approaches. The comparison demonstrates that robust estimations yield priority vectors not prone to influence of possible errors among the elements of a pair-wise comparison matrix. (C) 2002 Elsevier Science B.V. All rights reserved.