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Analysis of the effectiveness of the theseus multi-criteria sorting method: theoretical remarks and experimental evidence

Author

Listed:
  • Eduardo Fernandez

    (Autonomous University of Sinaloa)

  • Jorge Navarro

    (Autonomous University of Sinaloa)

  • Edgar Covantes

    (Autonomous University of Sinaloa)

  • Jorge Rodriguez

    (Autonomous University of Sinaloa)

Abstract

The effectiveness of the THESEUS multi-criteria sorting method is characterized, here, by (i) its capacity for suggesting precise and appropriate assignments; (ii) the probability of suggesting imprecise assignments; and (iii) the probability of suggesting incorrect assignments. We study how these important features are influenced by the number of criteria and categories, the cardinality of the reference set and the level of decision-maker consistency. We present a theoretical characterization and a wide range of experimental results that confirm and complement the formal analysis. The proposed way of analyzing effectiveness may be applied to other multi-criteria sorting methods.

Suggested Citation

  • Eduardo Fernandez & Jorge Navarro & Edgar Covantes & Jorge Rodriguez, 2017. "Analysis of the effectiveness of the theseus multi-criteria sorting method: theoretical remarks and experimental evidence," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(2), pages 314-339, July.
    • Handle: RePEc:spr:topjnl:v:25:y:2017:i:2:d:10.1007_s11750-016-0433-0
    DOI: 10.1007/s11750-016-0433-0
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    References listed on IDEAS

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    1. Fernandez, Eduardo & Navarro, Jorge, 2011. "A new approach to multi-criteria sorting based on fuzzy outranking relations: The THESEUS method," European Journal of Operational Research, Elsevier, vol. 213(2), pages 405-413, September.
    2. 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.
    3. G. Mavrotas & D. Diakoulaki & P. Capros, 2003. "Combined MCDA–IP Approach for Project Selection in the Electricity Market," Annals of Operations Research, Springer, vol. 120(1), pages 159-170, April.
    4. Doumpos, M. & Marinakis, Y. & Marinaki, M. & Zopounidis, C., 2009. "An evolutionary approach to construction of outranking models for multicriteria classification: The case of the ELECTRE TRI method," European Journal of Operational Research, Elsevier, vol. 199(2), pages 496-505, December.
    5. Mousseau, Vincent & Dias, Luis, 2004. "Valued outranking relations in ELECTRE providing manageable disaggregation procedures," European Journal of Operational Research, Elsevier, vol. 156(2), pages 467-482, July.
    6. 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.
    7. 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.
    8. Brito, Anderson J. & de Almeida, Adiel Teixeira & Mota, Caroline M.M., 2010. "A multicriteria model for risk sorting of natural gas pipelines based on ELECTRE TRI integrating Utility Theory," European Journal of Operational Research, Elsevier, vol. 200(3), pages 812-821, February.
    9. Fernandez, Eduardo & Navarro, Jorge & Bernal, Sergio, 2009. "Multicriteria sorting using a valued indifference relation under a preference disaggregation paradigm," European Journal of Operational Research, Elsevier, vol. 198(2), pages 602-609, October.
    10. 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.
    11. Butler, John & Jia, Jianmin & Dyer, James, 1997. "Simulation techniques for the sensitivity analysis of multi-criteria decision models," European Journal of Operational Research, Elsevier, vol. 103(3), pages 531-546, December.
    12. Siskos, Yannis & Grigoroudis, Evangelos & Krassadaki, Evangelia & Matsatsinis, Nikolaos, 2007. "A multicriteria accreditation system for information technology skills and qualifications," European Journal of Operational Research, Elsevier, vol. 182(2), pages 867-885, October.
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    Cited by:

    1. Eduardo Fernandez & Jorge Navarro & Rafael Olmedo, 2018. "Characterization of the Effectiveness of Several Outranking-Based Multi-Criteria Sorting Methods," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(04), pages 1047-1084, July.

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