Explaining and Rectifying Ahp Reversals
نویسندگان
چکیده
It has long been known with the Analytic Hierarchy Process (AHP) that addition or deletion of a copy of an existing alternative can cause the rank of other alternatives to reverse (Belton and Gear, 1983). Recently, Finan and Hurley (2002) discovered that removing a non-discriminating criterion from a multilevel AHP hierarchy causes the same phenomenon. This makes AHP appear deficient, since such removals should have no effect upon the final rank order. It has also been known that addition or removal of alternatives not being copies of existing alternatives can cause ranks to reverse (Saaty, 2000).
منابع مشابه
The Analysis of the Principal Eigenvector of Pairwise Comparison Matrices
This paper develops the spectral properties of pairwise comparison matrices (PCM) used in the multicriteria decision making method called analytic hierarchy process (AHP). Perturbed PCMs are introduced which may result in a reversal of the rank order of the decision alternatives. The analysis utilizes matrix theory to derive the principal eigenvector components of perturbed PCMs in explicit for...
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