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Multiple Criteria Hierarchy Process with ELECTRE and PROMETHEE

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  • Corrente, Salvatore
  • Greco, Salvatore
  • Słowiński, Roman

Abstract

Robust Ordinal Regression (ROR) supports Multiple Criteria Decision Process by considering all sets of parameters of an assumed preference model, that are compatible with preference information elicited by a Decision Maker (DM). As a result of ROR, one gets necessary and possible preference relations in the set of alternatives, which hold for all compatible sets of parameters, or for at least one compatible set of parameters, respectively. In this paper, we propose an extension of ELECTRE and PROMETHEE methods to the case of the hierarchy of criteria, which was never considered before. Then, we adapt ROR to the hierarchical versions of ELECTRE and PROMETHEE methods.

Suggested Citation

  • Corrente, Salvatore & Greco, Salvatore & Słowiński, Roman, 2013. "Multiple Criteria Hierarchy Process with ELECTRE and PROMETHEE," Omega, Elsevier, vol. 41(5), pages 820-846.
    • Handle: RePEc:eee:jomega:v:41:y:2013:i:5:p:820-846
    DOI: 10.1016/j.omega.2012.10.009
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    References listed on IDEAS

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    7. Figueira, José Rui & Greco, Salvatore & Slowinski, Roman, 2009. "Building a set of additive value functions representing a reference preorder and intensities of preference: GRIP method," European Journal of Operational Research, Elsevier, vol. 195(2), pages 460-486, June.
    8. Matthias Ehrgott & José Rui Figueira & Salvatore Greco (ed.), 2010. "Trends in Multiple Criteria Decision Analysis," International Series in Operations Research and Management Science, Springer, number 978-1-4419-5904-1, September.
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