Another potential shortcoming of AHP |
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Authors: | Joaquín Pérez José L Jimeno Ethel Mokotoff |
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Institution: | (1) Departamento de Fundamentos de Economía e Historia Económica, Universidad de Alcalá, Plaza de la Victoria, 2, 28802 Alcalá de Henares, Madrid |
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Abstract: | In the last twenty years many features of Saaty’s Analytical Hierarchy Process (AHP) have been criticised, especially the
additive hierarchical composition of conventional AHP, which leads to the possibility of occurrence of the Rank Reversal phenomenon
(adding an irrelevant alternative may cause a reversal in the ranking at the top). In this paper we show another feature of
AHP which may be, and in many application contexts will inneed be, an even stronger shortcoming of the method. It consists
in the fact that the addition of indifferent criteria (for which all alternatives perform equally) causes a significant alteration
of the aggregated priorities of alternatives, with important consequences. In hierarchies with four or more levels, rank reversal
may happen. Since in almost all applications of AHP the set of criteria is not fixed ex-ante but is variable and is constructed
in accordance with reasons of relevance and simplicity, almost all applications of AHP are potentially flawed. |
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Keywords: | Multiple criteria analysis rank reversal AHP indifferent criteria |
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