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Evaluating relationship of consistency ratio and number of alternatives on rank reversal in the AHP

机译：在层次分析法中评价一致性比率和逆序选择数的关系

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摘要

A simulation result of the rank reversal phenomenon is presented with respect to the changing values of consistency ratio and number of alternatives. The simulation results reveal that the number of alternatives and the consistency ratio have significant effect on the occurrence of rank reversal. (6 refs.) The analytic hierarchy process (AHP) originally developed by Saaty (Ref. 1) has been criticized for allowing the introduction of a new alternative to bring about rank reversals among existing alternatives. According to Vargas (Ref. 2), rank reversal is a characteristic of human behavior. A theory that does not allow it or explain it is incomplete. But according to Saaty, if an absolute measurement is used, there can be no reversal in the rank order of alternatives when the new ones are added or old ones are deleted. The AHP technique admits inconsistency at a certain level that is less than or equal to 0.1.
机译：针对一致性比率和替代方案数量的变化值，给出了秩逆转现象的仿真结果。仿真结果表明，备选方案的数目和一致性比率对秩反转的发生具有显着影响。 （6篇参考文献）最初由Saaty（参考文献1）开发的层次分析法（AHP）受到批评，因为它允许引入新的替代方案，从而在现有替代方案中带来排名逆转。根据瓦尔加斯（参考文献2），等级逆转是人类行为的特征。不允许或无法解释的理论是不完整的。但是根据Saaty所说，如果使用绝对度量，那么在添加新度量或删除旧度量时，替代的等级顺序就不会逆转。 AHP技术允许在小于或等于0.1的特定级别上出现不一致。

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