Homogeneous Groups of Actors in an AHP-Local Decision Making Context: A Bayesian Analysis

Author:

Altuzarra Alfredo,Gargallo Pilar,Moreno-Jiménez José María,Salvador ManuelORCID

Abstract

The two procedures traditionally followed for group decision making with the Analytical Hierarchical Process (AHP) are the Aggregation of Individual Judgments (AIJ) and the Aggregation of Individual Priorities (AIP). In both cases, the geometric mean is used to synthesise judgments and individual priorities into a collective position. Unfortunately, positional measures (means) are only representative if dispersion is reduced. It is therefore necessary to develop decision tools that allow: (i) the identification of groups of actors that present homogeneous and differentiated behaviours; and, (ii) the aggregation of the priorities of the near groups to reach collective positions with the greatest possible consensus. Following a Bayesian approach to AHP in a local context (a single criterion), this work proposes a methodology to solve these problems when the number of actors is not high. The method is based on Bayesian comparison and selection of model tools which identify the number and composition of the groups as well as their priorities. This information can be very useful to identify agreement paths among the decision makers that can culminate in a more representative decision-making process. The proposal is illustrated by a real-life case study.

Funder

Spanish Ministry of Economy and Competitiveness and FEDER funding

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference16 articles.

1. Cognitive Multicriteria Decision Making and the Legacy of AHP;Moreno-Jiménez;Estud. Econ. Apl.,2018

2. The Analytic Hierarchy Process;Saaty,1980

3. Group decision making and the AHP;Saaty,1989

4. Group preference aggregation methods employed in AHP: An evaluation and an intrinsic process for deriving members' weightages

5. Aggregating individual judgments and priorities with the analytic hierarchy process

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