Influence of aggregation and measurement scale on ranking a compromise alternative in AHP

A. Ishizaka, D. Balkenborg, T. Kaplan

Research output: Contribution to journalArticlepeer-review


Analytic Hierarchy Process (AHP) is one of the most popular multi-attribute decision aid methods. However, within AHP, there are several competing preference measurement scales and aggregation techniques. In this paper, we compare these possibilities using a decision problem with an inherent trade-off between two criteria. A decision-maker has to choose among three alternatives: two extremes and one compromise. Six different measurement scales described previously in the literature and the new proposed logarithmic scale are considered for applying the additive and the multiplicative aggregation techniques. The results are compared with the standard consumer choice theory. We find that with the geometric and power scales a compromise is never selected when aggregation is additive and rarely when aggregation is multiplicative, while the logarithmic scale used with the multiplicative aggregation most often selects the compromise that is desirable by consumer choice theory.

Original languageEnglish
Pages (from-to)700-710
Number of pages11
JournalJournal of the Operational Research Society
Issue number4
StatePublished - Apr 2011
Externally publishedYes


  • additive AHP
  • decision analysis
  • logarithmic scale
  • multiple criteria analysis
  • multiplicative AHP
  • utility theory

ASJC Scopus subject areas

  • Modeling and Simulation
  • Strategy and Management
  • Statistics, Probability and Uncertainty
  • Management Science and Operations Research


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