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系统工程理论与实践 2005
Study on Consistency Regulation for the Judgment Matrix in AHP
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Abstract:
Two new methods for regulating the consistency of the judgment matrix are presented. They are the general Hadamard convex combination (Easy-HCC) and clustering analysis-based Hadamard convex combination (HCC). Firstly, the building elements of the judgment matrix were constructed to positive reciprocal consistent building matrices. The first method was to do the geometric mean for the building matrices, and the later was to cluster the building matrices on the consistency with clustering analyzing to them. Based on this and the rule of majority their weight coefficient assigned. Then did the geometric mean with weight for the building matrices and a consistent transformed matrix was gained. At last, the two methods separately with the traditionary methods were compared. An example was used to explain the invalidity and inaccuracy of the add convex combination and the first method and the validity and usefulness of the later.