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Criteria weights assessment through prioritizations (WAP) using linear programming techniques and visualizations

Author

Listed:
  • N. Tsotsolas

    (Piraeus University of Applied Sciences)

  • A. Spyridakos

    (Piraeus University of Applied Sciences)

  • E. Siskos

    (National Technical University of Athens)

  • I. Salmon

    (Piraeus University of Applied Sciences)

Abstract

Utilising linear programming techniques in order to estimate the criteria weights based on preferences of decision makers expressed in the form which is used in Simos method usually results in infinite number of optimal solutions bordered into a n-dimensional hyper-polyhedron. For these cases of low robustness the barycenter is calculated and further used, but cannot always be considered satisfactory as far as the representation of the DM’s preferences is concerned. This paper is focused on the presentation of the weights assessment through prioritization method (WAP), constituting a specific integrated implementation of the Robust Simos Method. WAP method on the one hand enriches the preferential information used in a friendly and comprehensive by the DM way while on the other it leads to the estimation of weighting vectors with higher robustness. For the efficient application of the proposed approach, a software module supporting this method was developed and embedded into the RAVI system. The WAP method is presented through an illustration example and the results are discussed in terms of robustness, transparency and comprehensibility.

Suggested Citation

  • N. Tsotsolas & A. Spyridakos & E. Siskos & I. Salmon, 2019. "Criteria weights assessment through prioritizations (WAP) using linear programming techniques and visualizations," Operational Research, Springer, vol. 19(1), pages 135-150, March.
    • Handle: RePEc:spr:operea:v:19:y:2019:i:1:d:10.1007_s12351-016-0280-7
    DOI: 10.1007/s12351-016-0280-7
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    References listed on IDEAS

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    1. Evangelos Grigoroudis & Yannis Siskos, 2010. "Customer Satisfaction Evaluation," International Series in Operations Research and Management Science, Springer, number 978-1-4419-1640-2, April.
    2. Hurson, Christian & Siskos, Yannis, 2014. "A synergy of multicriteria techniques to assess additive value models," European Journal of Operational Research, Elsevier, vol. 238(2), pages 540-551.
    3. Kadziński, Miłosz & Greco, Salvatore & Słowiński, Roman, 2012. "Selection of a representative value function in robust multiple criteria ranking and choice," European Journal of Operational Research, Elsevier, vol. 217(3), pages 541-553.
    4. Siskos, Eleftherios & Tsotsolas, Nikos, 2015. "Elicitation of criteria importance weights through the Simos method: A robustness concern," European Journal of Operational Research, Elsevier, vol. 246(2), pages 543-553.
    5. 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.
    6. Roy, Bernard, 2010. "Robustness in operational research and decision aiding: A multi-faceted issue," European Journal of Operational Research, Elsevier, vol. 200(3), pages 629-638, February.
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