Abstract | ||
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In this paper, the priority preservation concept for adding a new element under a criterion is proposed. Then we proved that both eigenvector prioritization method and additive normalization prioritization method are weak priority preservation. In the same time, it is also proved that least deviation prioritization method, logarithmic least- squares prioritization method, least-squares prioritization method and gradient eigenvector prioritization method are strong priority preservation. The results are of importance for selecting a fitting prioritization method in the analytic hierarchy process. |
Year | DOI | Venue |
---|---|---|
2007 | 10.1109/FSKD.2007.581 | FSKD (2) |
Keywords | Field | DocType |
least deviation prioritization method,different prioritization methods,additive normalization prioritization method,decision making,strong priority preservation,deviation prioritization method,ority preservation,priority preservation concept,matrix algebra,priority preservation,logarithmic least- squares prioritization method,least squares approximations,gradient methods,gradient eigenvector prioritization method,squares prioritization method,eigenvector prioritization method,eigenvalues and eigenfunctions,least-squares prioritization method,analytic hierarchy process,fitting prioritization method,normalization prioritization method,eigenvectors,least square | Data mining,Mathematical optimization,Normalization (statistics),Matrix algebra,Computer science,Simple prioritization,Prioritization,Logarithm,Eigenvalues and eigenvectors,Analytic hierarchy process | Conference |
Volume | ISBN | Citations |
2 | 978-0-7695-2874-8 | 0 |
PageRank | References | Authors |
0.34 | 2 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Wei-Jun Xu | 1 | 154 | 14.56 |
Yucheng Dong | 2 | 2831 | 99.15 |
Maolin Hu | 3 | 25 | 4.31 |