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Regular version of the site

Article

Non-dominance and potential optimality for partial preference relations

European Journal of Operational Research. 2013. Vol. 229. P. 482-486.

In this paper we obtain new theoretical results relating the notions of potential optimality and non-dominance without an assumption that a value function exists. In particular, we investigate a decision problem involving the choice of single or multiple best objects. Our results show that the notions of potential optimality and non-dominance are equivalent in a special case of preferences of the decision maker expressed by partial quasi-orders.