Stochastic group preference modelling in the multiplicative AHP

A model of group consensus

R. C. Van Den Honert*

*Corresponding author for this work

Research output: Contribution to journalArticle

43 Citations (Scopus)

Abstract

This paper proposes a model for the representation of a consensus-seeking group decision 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 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 due to the group preference uncertainty, 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.

Original languageEnglish
Pages (from-to)99-111
Number of pages13
JournalEuropean Journal of Operational Research
Volume110
Issue number1
Publication statusPublished - 1 Oct 1998
Externally publishedYes

Keywords

  • Group consensus
  • Group preference model
  • Interval judgements of impact scores
  • Multiplicative analytic hierarchy process

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