Another potential shortcoming of Saaty's AHP

  1. Pérez Navarro, Joaquín
  2. Jimeno Pastor, José Luis
  3. Mokotoff Miguel, Ethel-Virginia
Llibre:
XXVI Congreso Nacional de Estadística e Investigación Operativa: Úbeda, 6-9 de noviembre de 2001

Editorial: Jaén : Universidad de Jaén, 2001

ISBN: 84-8439-080-2

Any de publicació: 2001

Congrés: Congreso Nacional de Estadística e Investigación Operativa (26. 2001. Úbeda)

Tipus: Aportació congrés

Resum

Much attention has attracted the possibility of occurrence of the Rank Reversal phenomenon in Saaty's AHP. Less attention has received another important way of perturbing the aggregated rank of alternatives: the addition of indifferent criteria (for which all alternatives perform equally). In AHP adding indifferent criteria on the basic aggregation context (three hierarchical levels) can not cause rank reversal, but narrows the scale range of the aggregated rank, thus decreasing the robustness of choice based on this rank. Furthermore, in more complex aggregation contexts, (when, as is frequently the case, there are more than three levels), rank reversal may happen.