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Multiple Criteria Hierarchy Process for ELECTRE Tri methods

Author

Listed:
  • Corrente, Salvatore
  • Greco, Salvatore
  • Słowiński, Roman

Abstract

Sorting methods, in particular ELECTRE Tri methods, are widely used in Multiple Criteria Decision Aiding to deal with ordinal classification problems. Problems of this kind encountered in practice involve the evaluation of different alternatives (actions) on several evaluation criteria that are structured in a hierarchical way. In order to deal with a hierarchical structure of criteria in decision problems, Multiple Criteria Hierarchy Process (MCHP) has been recently proposed. In this paper, we apply the MCHP to the ELECTRE-Tri methods. In particular, we extend ELECTRE Tri-B, ELECTRE Tri-C and ELECTRE Tri-nC methods. We also adapt the MCHP concept to the case where interaction among evaluation criteria has either strengthening, or weakening, or antagonistic effect. Finally, we present an extension of the SRF method to determine the weights of criteria in case they are hierarchically structured.

Suggested Citation

  • Corrente, Salvatore & Greco, Salvatore & Słowiński, Roman, 2016. "Multiple Criteria Hierarchy Process for ELECTRE Tri methods," European Journal of Operational Research, Elsevier, vol. 252(1), pages 191-203.
    • Handle: RePEc:eee:ejores:v:252:y:2016:i:1:p:191-203
    DOI: 10.1016/j.ejor.2015.12.053
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    References listed on IDEAS

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    1. Corrente, Salvatore & Greco, Salvatore & Słowiński, Roman, 2013. "Multiple Criteria Hierarchy Process with ELECTRE and PROMETHEE," Omega, Elsevier, vol. 41(5), pages 820-846.
    2. Almeida-Dias, J. & Figueira, J.R. & Roy, B., 2012. "A multiple criteria sorting method where each category is characterized by several reference actions: The Electre Tri-nC method," European Journal of Operational Research, Elsevier, vol. 217(3), pages 567-579.
    3. Greco, Salvatore & Mousseau, Vincent & Slowinski, Roman, 2008. "Ordinal regression revisited: Multiple criteria ranking using a set of additive value functions," European Journal of Operational Research, Elsevier, vol. 191(2), pages 416-436, December.
    4. Bouyssou, Denis & Marchant, Thierry, 2015. "On the relations between ELECTRE TRI-B and ELECTRE TRI-C and on a new variant of ELECTRE TRI-B," European Journal of Operational Research, Elsevier, vol. 242(1), pages 201-211.
    5. Figueira, José Rui & Greco, Salvatore & Roy, Bernard, 2009. "ELECTRE methods with interaction between criteria: An extension of the concordance index," European Journal of Operational Research, Elsevier, vol. 199(2), pages 478-495, December.
    6. Bouyssou, Denis & Marchant, Thierry, 2015. "On the relations between ELECTRE TRI-B and ELECTRE TRI-C and on a new variant of ELECTRE TRI-B," European Journal of Operational Research, Elsevier, vol. 242(1), pages 201-211.
    7. Almeida-Dias, J. & Figueira, J.R. & Roy, B., 2010. "Electre Tri-C: A multiple criteria sorting method based on characteristic reference actions," European Journal of Operational Research, Elsevier, vol. 204(3), pages 565-580, August.
    8. Figueira, Jose & Roy, Bernard, 2002. "Determining the weights of criteria in the ELECTRE type methods with a revised Simos' procedure," European Journal of Operational Research, Elsevier, vol. 139(2), pages 317-326, June.
    9. Danielle Costa Morais & Adiel Teixeira Almeida & José Rui Figueira, 2014. "A Sorting Model for Group Decision Making: A Case Study of Water Losses in Brazil," Group Decision and Negotiation, Springer, vol. 23(5), pages 937-960, September.
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