A New Consistency Index and Its Application in the Analytic Hierarchy Processes

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  • 階層化意思決定法(AHP)における新しい整合度とその応用
  • カイソウカ イシ ケッテイホウ AHP ニ オケル アタラシイ セイゴウド ト

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Abstract

Firsly, a new consistency index is proposed to the pair-wise comparison matrix which is extensively used in AHP for obtaining the relative importances of alternatives. By computer simulation of AHP processes, the properties of the proposed index are examinined in comparison with the conventional index which is based on the maximum eigen value of a pair-wise comparison matrix. The result shows the new index has high correlation with the conventional index and its consistency check criterion is given.<br>Secondly, based on the proposed consistency index, a new simple method is introduced for modification of the pair-wise comparison matrix with low consistency. The computer simulation results of modification processes show that the propsed method can reduce the deviation from an original pair-wise comparison matrix more than the conventional method such as one using the sensitivity of the above consistency index. In this sense, the proposed method makes much account of the decision maker's first opinion and does not require its large modification.

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