Estimating criterion weights using eigenvectors: A comparative study
type: Item
instance of: scholarly article
title: Estimating criterion weights using eigenvectors: A comparative study
zbMATH Open document ID: 0618.90046
DOI: 10.1016/0377-2217(87)90249-9
author: B. George
published in: European Journal of Operational Research
publication date: 1987-01-01T00:00:00Z
review text: In addition to Saaty's eigenvector there are infinitely many eigen weight vectors which can be constructed for any given data of estimated weight ratios. As the judgement of the ratios are dependent on personal experience, learning, situations and state of mind, inconsistencies and degree of easiness or confidence to make the judgement on the ratios may be different. Assuming that the confidence in making judgement on these individual ratios can be different, we study the properties of the different eigen weight vectors, including that of \textit{T. L. Saaty} [''The analytic hierarchy process'' (1980; Zbl 0587.90002)] and that recently proposed by \textit{K. O. Cogger} and \textit{P. L. Yu} [J. Optimization Theory Appl. 46, 483-491 (1985; Zbl 0552.90050)]. A general framework for the construction of eigen weight vectors incorporating that confidence in obtaining the individual ratios can be different will be proposed and discussed.
Mathematics Subject Classification ID: 90B50
zbMATH DE Number: 4003891
MaRDI profile type: Publication
full work available at URL: 0377-2217(87)90249-9
OpenAlex ID: W2078999992
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description: scientific article; zbMATH DE number 4003891