"Two New Cases of Ranking Reversals When the AHP and
Some of Its Additive Variants Are Used that do not Occur with the Multiplicative AHP"
Mult-Criteria Decision Analysis,
(2001), May, Vol. 10, pp. 11-25.
by Evangelos Triantaphyllou
Many researchers have long observed some cases in which certain
ranking irregularities can occur when the original AHP, or some
of its variants, are used. This paper presents some new
categories of ranking irregularities which defy common intuition.
These ranking irregularities are possible when the original AHP,
or some of its variants, are used. Computational experiments on
random test problems and an examination of some real-life case
studies suggest that these ranking irregularities are
dramatically likely to occur. However, this paper proves that
these ranking irregularities are not possible when a
multiplicative variant of the AHP is used.