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Note on group consistency in analytic hierarchy process

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  • Lin, Robert
  • Lin, Jennifer Shu-Jen
  • Chang, Jason
  • Tang, Didos
  • Chao, Henry
  • Julian, Peter C

Abstract

We study the paper of Xu [Z. Xu, On consistency of the weighted geometric mean complex judgement matrix in AHP, European Journal of Operational Research 126 (2000) 683-687] for the group consistency in analytic hierarchy process of multicriteria decision-making. The purpose of this note is threefold. First, we point out the questionable results in this paper. Second, for three by three comparison matrices, we provide a patchwork for his method. Third, we constructed a counter example to show that in general his method is wrong. Numerical examples are provided to illustrate our findings. If there are four or more alternatives, then we may advise researchers to ignore his results to avoid questionable estimation of group consistency.

Suggested Citation

  • Lin, Robert & Lin, Jennifer Shu-Jen & Chang, Jason & Tang, Didos & Chao, Henry & Julian, Peter C, 2008. "Note on group consistency in analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 190(3), pages 672-678, November.
    • Handle: RePEc:eee:ejores:v:190:y:2008:i:3:p:672-678
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    References listed on IDEAS

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    1. Aull-Hyde, Rhonda & Erdogan, Sevgi & Duke, Joshua M., 2006. "An experiment on the consistency of aggregated comparison matrices in AHP," European Journal of Operational Research, Elsevier, vol. 171(1), pages 290-295, May.
    2. Escobar, M. T. & Aguaron, J. & Moreno-Jimenez, J. M., 2004. "A note on AHP group consistency for the row geometric mean priorization procedure," European Journal of Operational Research, Elsevier, vol. 153(2), pages 318-322, March.
    3. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    4. Zanakis, Stelios H. & Mandakovic, Tomislav & Gupta, Sushil K. & Sahay, Sundeep & Hong, Sungwan, 1995. "A review of program evaluation and fund allocation methods within the service and government sectors," Socio-Economic Planning Sciences, Elsevier, vol. 29(1), pages 59-79, March.
    5. Xu, Z., 2000. "On consistency of the weighted geometric mean complex judgement matrix in AHP," European Journal of Operational Research, Elsevier, vol. 126(3), pages 683-687, November.
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