Estimating criterion weights using eigenvectors: A comparative study |
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| Affiliation: | 1. Key Laboratory of Intelligent Information Processing of Jilin Universities, School of Computer Science and Information Technology, Northeast Normal University, Changchun 130117, China;2. Key Laboratory for Applied Statistics of MOE, School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China;3. Institute of Computational Biology, Northeast Normal University, Changchun 130117, China;4. School of Statistics, Dongbei University of Finance and Economics, Dalian 116025, China |
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| Abstract: | 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 judgment of the ratios are dependent on personal experience, learning, situations and state of mind, inconsistencies and degree of easiness or judgment on these individual ratios can be different, we study the properties of the different eigen weight vectors, including that of Saaty and that recently proposed by Cogger and Yu. 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. |
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