Multicriteria sorting using a valued indifference relation under a preference disaggregation paradigm.(Report) Fernandez, Eduardo; Navarro, Jorge; Bernal, Sergio

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Fernandez, Eduardo ; Navarro, Jorge ; Bernal, Sergio
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European Journal of Operational Research
Business, general; Business, international; Analysis
Academic; Trade
To link to full-text access for this article, visit this link: Byline: Eduardo Fernandez (a), Jorge Navarro (a), Sergio Bernal (b) Keywords: Multicriteria classification; Fuzzy outranking relations; Parameter elicitation; Evolutionary multiobjective optimization Abstract: Most multicriteria decision methods need the definition of a significant amount of preferential information from a decision agent. The preference disaggregation analysis paradigm infers the model's parameter values from holistic judgments provided by a decision agent. Here, a new method for inferring the parameters of a fuzzy outranking model for multicriteria sorting is proposed. This approach allows us to use most of the preferential information contained in a reference set. The central idea is to characterize the quality of the model by measuring discrepancies and concordances amongst (i) the preference relations derived from the outranking model, and (ii) the preferential information contained in the reference set. The model's parameters are inferred from a multiobjective optimization problem, according to some additional preferential information from a decision agent. Once the model has been fitted, sorting decisions about new objects are performed by using a fuzzy indifference relation. This proposal performs very well in some examples. Author Affiliation: (a) Autonomous University of Sinaloa, Culiacan, Sinaloa, Mexico (b) CapitalI IQ, 55 Water Street 49th floor, New York, NY 10041, United States Article History: Received 4 April 2007; Accepted 19 September 2008
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