Stochastic Group Preference Modelling in the Multiplicative AHP: A Model of GroupConsensus

摘要

The paper proposes a model for the presentation of a concensus-seeking groupdecision making process under the multiplicative variant of the analytic hierarchy process (AHP). In particular, it proposes a group preference model which expresses the group's preference intensity judgements as a random variables with associated probability distributions, and the structure of the multiplicative AHP is exploited to derive interval judgements for the alternatives' final impact scores as perceived by the group. These interval judgements can be used to determine the probability that a rank reversal may occur amongst alternatives, i.e. to assess the stability of the final impact score vector, which in turn offers information about the degree of consensus within the group about the decision.