Lotteries in a Multicriteria Decision Framework
نویسنده
چکیده
In this paper, we introduce the notion of multicriteria lotteries. The interest of this lies in the fact that decision under uncertainty and multicriteria decision making are formally equivalent when the set of states of the world is nite in the uncertainty framework. Using this analogy, together with an extension of the Anscombe-Aumann representation theorem to the non-additive case due to Wakker, we are able to give a Choquet-integral representation of preferences in multicriteria decision making. We also show that multicriteria lotteries can be used in order to consider both paradigms of decision in a same problem, by formally introducing some uncertainty in the consequences .
منابع مشابه
Lotteries in a Multicriteria Decision
In this paper, we introduce the notion of multicriteria lotteries. The interest of this lies in the fact that decision under uncertainty and multicriteria decision making are formally equivalent when the set of states of the world is nite in the uncertainty framework. Using this analogy, together with an extension of the Anscombe-Aumann representation theorem to the non-additive case due to Wak...
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