Journal
JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY
Volume 57, Issue 12, Pages 1491-1496Publisher
PALGRAVE MACMILLAN LTD
DOI: 10.1057/palgrave.jors.2602129
Keywords
multiple criteria decision making; analytical hierarchy process; pairwise comparison matrix; goal programming
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Generating priority vectors from pairwise comparison matrices is an essential part of the analytical hierarchy process. Besides the well-known right eigenvector method and the logarithmic least squares method, Bryson proposed a goal programming method (GPM) for achieving the above. Although the GPM always obtains an optimal solution, this study shows the existence of concealed alternative optimal solutions that might lead to different priority vectors. This study proposed a GPM for overcoming the problem of alternative optimal solution. In contrast with the GPM, the proposed method obtains a unique optimal solution and performs better in various aspects.
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