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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Bibliographic Details
Published inMathematical problems in engineering Vol. 2019; no. 2019; pp. 1 - 5
Main Author Lin, Scott Shu-Cheng
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2019
Hindawi
Hindawi Limited
Subjects
Analytic hierarchy process
Applied mathematics
Eigenvalues
Eigenvectors
Geographic information systems
Hierarchies
Least squares
Quantitative psychology
Soil erosion
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Summary: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