A study on the aggregation of multi-experts priorities using compatibility in the AHP

The objective of this study is to propose a new procedure to synthesize the multi-experts' priorities in the analytic hierarchy process (AHP). If multi-experts with different expertise are involved in an AHP decision, we need some way to aggregate their opinions. An AHP model used to do numerical aggregation by taking only the geometric mean or the weighting geometric mean in the past. To aggregate the multi-experts' priorities, in this paper, we suggest a way in which a Decision Maker can exclude an outlier matrix from a group using the concept of compatibility and we introduce the Delphi method to use compatibility in AHP. A numerical example is shown to illustrate the procedure.