Note on group consistency in analytic hierarchy process |
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| Authors: | Robert Lin Jennifer Shu-Jen Lin Jason Chang Didos Tang Henry Chao Peter C Julian |
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| Affiliation: | aDepartment of General Education Center, Oriental Institute of Technology, Taiwan, ROC;bInstitute of Technological & Vocational Education, National Taipei University of Technology, Taiwan, ROC;cDepartment of Civil Engineering, National Taiwan University, Taiwan, ROC;dArmy Command and Staff College, National Defense University, Taiwan, ROC;eDepartment of Traffic Science, Central Police University, Taiwan, ROC |
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| 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. |
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| Keywords: | Analytic hierarchy process (AHP) Consistency |
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