Group Decision and Negotiation

, Volume 22, Issue 3, pp 483–497 | Cite as

Cross-Weight Evaluation for Pairwise Comparison Matrices

  • Ying-Ming WangEmail author
  • Ying Luo
  • Yi-Song Xu


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.


Data envelopment analysis Analytic hierarchy process Cross-weight evaluation Multiple criteria decision making 


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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Decision Sciences InstituteFuzhou UniversityFuzhouPeople’s Republic of China
  2. 2.School of ManagementXiamen UniversityXiamenPeople’s Republic of China

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