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Analyzing AHP-matrices by regression

delete2003-08-01
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P
Pertti Laininen
R
Raimo P. Hämäläinen
DOI:10.1016/S0377-2217(02)00430-7delete
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摘要

摘要

En 中文
In the analytic hierarchy process (AHP) the decision maker makes comparisons between pairs of attributes or alternatives. In real applications the comparisons are subject to judgmental errors. Many AHP-matrices reported in the literature are found to be such that the logarithm of the comparison ratio can be sufficiently well modeled by a normal distribution with a constant variance. On the basis of this model we present the formulae for the evaluation of the standard deviations of the estimates of the AH P-weights obtained by regression analysis. In order to eliminate the effect of an outlier in the comparison ratios a robust regression technique is elaborated, and compared with the eigenvector method and the logarithmic least squares regression. A dissimilarity matrix approach is presented for the statistical simultaneous comparisons of the AHP-weights. The results are illustrated by simulation experiments. (C) 2002 Elsevier Science B.V. All rights reserved.
Keyword:
analytical hierarchy process
eigenvector method
regression
robust regression
multiple comparisons
simultaneous comparisons
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期刊

European Journal of Operational Research 封面图
European Journal of Operational Research
IF:
6
论文数:
2.2W
被引数:
6.4W

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