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Solving the Least Squares Method problem in the AHP for 3 X 3 and 4 X 4 matrices

Bozóki, Sándor (2005) Solving the Least Squares Method problem in the AHP for 3 X 3 and 4 X 4 matrices. Central European Journal of Operations Research, 13 (3). pp. 255-270.

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Abstract

The Analytic Hierarchy Process (AHP) is one of the most popular methods used in Multi-Attribute Decision Making. The Eigenvector Method (EM) and some distance minimizing methods such as the Least Squares Method (LSM) are of the possible tools for computing the priorities of the alternatives. A method for generating all the solutions of the LSM problem for 3 × 3 and 4 × 4 matrices is discussed in the paper. Our algorithms are based on the theory of resultants.

Item Type:Article
Uncontrolled Keywords:decision theory, pairwise comparison matrix, least squares method, polynomial system
Subjects:Mathematics, Econometrics
Projects:OTKA T029572
ID Code:740
Deposited By: Ádám Hoffmann
Deposited On:18 Jul 2012 10:19
Last Modified:04 Sep 2012 15:10

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