2.50
Hdl Handle:
http://hdl.handle.net/10547/244268
Title:
A qualitative perspective to deriving weights from pairwise comparison matrices
Authors:
Ramanathan, Ramakrishnan ( 0000-0002-8861-2209 ) ; Ramanathan, Usha
Abstract:
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) 228
Journal:
Omega
Issue Date:
2010
URI:
http://hdl.handle.net/10547/244268
DOI:
10.1016/j.omega.2009.09.002
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S0305048309000656
Type:
Article
Language:
en
ISSN:
0305-0483
Appears in Collections:
Business and Information Systems Research Centre (BISC)

Full metadata record

DC FieldValue Language
dc.contributor.authorRamanathan, Ramakrishnanen_GB
dc.contributor.authorRamanathan, Ushaen_GB
dc.date.accessioned2012-09-17T11:32:15Zen
dc.date.available2012-09-17T11:32:15Zen
dc.date.issued2010en
dc.identifier.citationRamanathan, R., Ramanathan, U. (2010) 'A qualitative perspective to deriving weights from pairwise comparison matrices' Omega 38 (3-4) 228en_GB
dc.identifier.issn0305-0483en
dc.identifier.doi10.1016/j.omega.2009.09.002en
dc.identifier.urihttp://hdl.handle.net/10547/244268en
dc.description.abstractDeriving 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.en
dc.language.isoenen
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0305048309000656en_GB
dc.subjectpairwise comparison matricesen
dc.subjectdata envelopment analysisen
dc.subjectanalytic hierarchy processen
dc.subjectweightsen
dc.subjectqualitative judgmentsen
dc.titleA qualitative perspective to deriving weights from pairwise comparison matricesen
dc.typeArticleen
dc.identifier.journalOmegaen_GB
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