Analytic Hierarchy Process by Least Square Method Revisit

Analytic Hierarchy Process by Least Square Method Revisit

We study the paper of Saaty and Vargas to discuss the solutions for a comparison matrix derived by eigenvector method, least square method, and logarithmic least square method, respectively. We prove that the prediction of Saaty and Vargas is valid. Our result will provide a patch work for the theor...

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Veröffentlicht in:Mathematical problems in engineering 2019-01, Vol.2019 (2019), p.1-5
1. Verfasser: Lin, Scott Shu-Cheng
Format: Artikel
Sprache:eng
Schlagworte:
Analytic hierarchy process
Applied mathematics
Eigenvalues
Eigenvectors
Geographic information systems
Hierarchies
Least squares
Quantitative psychology
Soil erosion
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Zusammenfassung:We study the paper of Saaty and Vargas to discuss the solutions for a comparison matrix derived by eigenvector method, least square method, and logarithmic least square method, respectively. We prove that the prediction of Saaty and Vargas is valid. Our result will provide a patch work for the theoretic foundation for Analytic Hierarchy Process.
ISSN:1024-123X
1563-5147
DOI:10.1155/2019/2797515