Robust multi-criteria sorting with the outranking preference model and characteristic profiles |
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Institution: | 1. CNRS, LAMSADE, UMR 7243 & Université Paris Dauphine, Place du Maréchal de Lattre de Tassigny, Paris Cedex 16 F-75775, France;2. Ghent University, H. Dunantlaan, 1, Gent B-9000, Belgium;1. School of Management, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, PR China;2. Institute of Computing Science, Poznań University of Technology, Piotrowo 2, Poznań 60-965, Poland;3. Systems Research Institute, Polish Academy of Sciences, Newelska, 6, Warsaw 01-447, Poland |
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Abstract: | We present a new multiple criteria sorting approach that uses characteristic profiles for defining the classes and outranking relation as the preference model, similarly to the Electre Tri-C method. We reformulate the conditions for the worst and best class assignments of Electre Tri-C to increase comprehensibility of the method and interpretability of the results it delivers. Then, we present a disaggregation procedure for inferring the set of outranking models compatible with the given preference information, and use the set in deriving, for each decision alternative, the necessary and possible assignments. Furthermore, we introduce simplified assignment procedures and prove that they maintain a no class jumps-property in the possible assignments. Application of the proposed approach is demonstrated by classifying 40 land zones in 4 classes representing different risk levels. |
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Keywords: | Multiple criteria sorting Outranking relation Robustness analysis Preference disaggregation Electre Tri-C |
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