Robust Ordinal Regression and Stochastic Multiobjective Acceptability Analysis in multiple criteria hierarchy process for the Choquet integral preference model

Silvia Angilella, Salvatore Corrente, Salvatore Greco, Roman Słowiński

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Abstract

The paper deals with two important issues of Multiple Criteria Decision Aiding: interaction between criteria and hierarchical structure of criteria. To handle interactions, we apply the Choquet integral as a preference model, and to handle the hierarchy of criteria, we apply the recently proposed methodology called Multiple Criteria Hierarchy Process. In addition to dealing with the above issues, we suppose that the preference information provided by the Decision Maker is indirect and has the form of pairwise comparisons of some criteria and some alternatives with respect to some criteria. In consequence, many instances of the Choquet integral are usually compatible with this preference information. These instances are identified and exploited by Robust Ordinal Regression and Stochastic Multiobjective Acceptability Analysis. To illustrate the whole approach, we show its application to a real world decision problem concerning the ranking of universities for a hypothetical Decision Maker.
Original languageEnglish
Pages (from-to)154-169
JournalOmega
Volume63
Early online date26 Oct 2015
DOIs
Publication statusPublished - Sep 2016

Keywords

  • University ranking
  • Multiple Criteria Decision Aiding
  • Hierarchy of criteria
  • Choquet integral preference model
  • Robust Ordinal Regression
  • Stochastic Multiobjective Acceptability Analysis

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