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Weights determination of OWA operators by parametric identification

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  • Renaud, Jean
  • Levrat, Eric
  • Fonteix, Christian

Abstract

This contribution presents a new approach on weights determination in industrial decision making aided by OWA operators. Multi-criteria decision aid is a good way, for an industrialists, to determine his preferred compromise products, in the case of risk products or innovative products. The multi-criteria decision support chosen is the Ordered Weighted Average (OWA) operators, introduced by Yager [R.R. Yager, On ordered weighted averaging aggregation operators in multicriteria decision making, IEEE Trans. Syst. Man Cybern. 18 (1988) 183–190]. The interest of this aggregation method is, beyond its simplicity of use, product evaluation according unique scale. Furthermore, the weights are not fixed by criterion but according to utility level. First, a learning sample is ranked by the decision-maker. Then, this ranked sample is used in order to determine the weights by parametric identification. For this, an hypothesis of equipartition of the scores of each sample is used. An industrial application, from a food production, illustrates this approach. The ranks obtained from several samples are compared.

Suggested Citation

  • Renaud, Jean & Levrat, Eric & Fonteix, Christian, 2008. "Weights determination of OWA operators by parametric identification," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(5), pages 499-511.
    • Handle: RePEc:eee:matcom:v:77:y:2008:i:5:p:499-511
    DOI: 10.1016/j.matcom.2007.11.024
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    1. Shanteau, James & Weiss, David J. & Thomas, Rickey P. & Pounds, Julia C., 2002. "Performance-based assessment of expertise: How to decide if someone is an expert or not," European Journal of Operational Research, Elsevier, vol. 136(2), pages 253-263, January.
    2. Xu, Xiaozhan, 2004. "A note on the subjective and objective integrated approach to determine attribute weights," European Journal of Operational Research, Elsevier, vol. 156(2), pages 530-532, July.
    3. Robert T. Eckenrode, 1965. "Weighting Multiple Criteria," Management Science, INFORMS, vol. 12(3), pages 180-192, November.
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    1. Reimann, Olivier & Schumacher, Christian & Vetschera, Rudolf, 2017. "How well does the OWA operator represent real preferences?," European Journal of Operational Research, Elsevier, vol. 258(3), pages 993-1003.

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