A new distance measure including the weak preference relation: Application to the multiple criteria aggregation procedure for mixed evaluations |
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| Authors: | Sarah Ben Amor Jean-Marc Martel |
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| Institution: | 1. Telfer School of Management, University of Ottawa, 55 Laurier East, Ottawa, Ontario K1R 6N5, Canada;2. Faculté des Sciences Administratives, Université Laval, Ste-Foy, Québec G1K 7P4, Canada |
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| Abstract: | We introduce a new distance measure between two preorders that captures indifference, strict preference, weak preference and incomparability relations. This measure is the first to capture weak preference relations. We illustrate how this distance measure affords decision makers greater modeling power to capture their preferences, or uncertainty and ambiguity around them, by using our proposed distance measure in a multiple criteria aggregation procedure for mixed evaluations. |
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| Keywords: | Multiple criteria analysis Uncertainty modeling Preference relations Stochastic dominance Distance measure |
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