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A ranking model in uncertain, imprecise and multi-experts contexts: the application of evidence theory. (English) Zbl 1226.68109

Summary: We consider ranking problems where the actions are evaluated on a set of ordinal criteria. The evaluation of each alternative with respect to each criterion may be imperfect and is provided by one or several experts. We model each imperfect evaluation as a basic belief assignment (BBA). In order to rank the BBAs characterizing the performances of the actions according to each criterion, a new concept called RBBD and based on the comparison of these BBAs to ideal or nadir BBAs is proposed. This is performed using belief distances that measure the dissimilarity of each BBA to the ideal or nadir BBAs. A model inspired by the method of X. Xu, J. M. Martel and B. F. Lamond [Eur. J. Oper. Res. 133, No. 1, 69–80 (2001; Zbl 0989.90097)] is also proposed and illustrated by a pedagogical example.

MSC:

68T37 Reasoning under uncertainty in the context of artificial intelligence
90B50 Management decision making, including multiple objectives

Citations:

Zbl 0989.90097
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References:

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