Cross-Weight Evaluation for Pairwise Comparison Matrices

Wang, Ying-Ming; Luo, Ying; Xu, Yi-Song
May 2013
Group Decision & Negotiation;May2013, Vol. 22 Issue 3, p483
Academic Journal
Data envelopment analysis (DEA) methodology has recently been applied to weight derivation in the analytic hierarchy process (AHP). This paper proposes a cross-weight evaluation technique, which is similar to the cross-efficiency evaluation in DEA, for priority determination in the AHP. The cross-weight evaluation produces true weights for perfectly consistent pairwise comparison matrices and logical weights for inconsistent pairwise comparison matrices. Numerical examples are examined to illustrate the advantages and potential applications of the cross-weight evaluation in priority determination in the AHP.


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