A qualitative perspective to deriving weights from pairwise comparison matrices
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2010Subjects
pairwise comparison matricesdata envelopment analysis
analytic hierarchy process
weights
qualitative judgments
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Deriving weights from pairwise comparison matrices (PCM) is a highly researched topic. The analytic hierarchy process (AHP) traditionally uses the eigenvector method for the purpose. Numerous other methods have also been suggested. A distinctive feature of all these methods is that they associate a quantitative meaning to the judgemental information given by the decision-maker. In contrast, the verbal scale used in AHP to capture judgements does not associate such a quantitative meaning. Though this issue of treating judgements qualitatively is recognized in the extant literature on multi-criteria decision making, unfortunately, there is no research effort so far in the AHP literature. Deriving motivation from the application of data envelopment analysis (DEA) for deriving weights, it is proposed in this paper that DEA models developed to deal with a mix of qualitative and quantitative factors can be used to derive weights from PCMs by treating judgements as qualitative factors. The qualitative DEA model is discussed and illustrated in this paper.Citation
Ramanathan, R., Ramanathan, U. (2010) 'A qualitative perspective to deriving weights from pairwise comparison matrices' Omega 38 (3-4) 228Journal
OmegaAdditional Links
http://linkinghub.elsevier.com/retrieve/pii/S0305048309000656Type
ArticleLanguage
enISSN
0305-0483ae974a485f413a2113503eed53cd6c53
10.1016/j.omega.2009.09.002