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

Bozóki, Sándor and Lewis, Robert H. (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. pp. 255-270. ISSN 1435-246X

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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 x 3 and 4 x 4 matrices is discussed in the paper. Our algorithms are based on the theory of resultants.

Item Type: Article
Subjects: H Social Sciences / társadalomtudományok > HB Economic Theory / közgazdaságtudomány
H Social Sciences / társadalomtudományok > HB Economic Theory / közgazdaságtudomány > HB5 Mathematical economics / matematikai közgazdaságtan
Q Science / természettudomány > QA Mathematics / matematika
Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra
Depositing User: Dr. Sándor Bozóki
Date Deposited: 11 Sep 2018 13:27
Last Modified: 11 Sep 2018 13:27
URI: http://real.mtak.hu/id/eprint/83511

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