Computing a common preference vector in a complex multi-actor and multi-group decision system in Analytic Hierarchy Process context

Pietro Amenta, Alessio Ishizaka, Antonio Lucadamo, Gabriella Marcarelli, Vijay Vyas

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Abstract

The Analytic Hierarchy Process (hereafter AHP) is a popular multi-criteria decision making technique. The extant AHP literature usually depicts the geometric mean or the arithmetic mean as a measure of aggregation to process group decisions. However, both these measures are subject to the influence of extreme opinions, and aggregations based on them may not accurately portray the true group preference. In this paper, we propose the Common Priority Vector Procedure, which accentuates the majority group preference and diminishes the influence of extreme individual opinions. The method has been further extended to deal with multi-actor, multi-criteria and multi-group decisions. The development of Common Priority Vector Procedure, presented here, has been motivated by a real case study presented towards the end of the paper.
Original languageEnglish
Pages (from-to)33–62
Number of pages30
JournalAnnals of Operations Research
Volume284
Issue number1
Early online date12 May 2019
DOIs
Publication statusPublished - Jan 2020

Keywords

  • Decision analysis
  • AHP
  • Group decision
  • Common Priority Vector Procedure
  • multi-criteria decision making

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