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Contractibility of Efficient Frontier of Simply Shaded Sets
Authors:Joël Benoist
Affiliation:(1) LACO, Upressa 6090, Faculté des Sciences, University of Limoges, 123 rue A. Thomas, 87060 Limoges, France, e-mail
Abstract:In finite dimensional Euclidean space, we prove the contractibility of the efficient frontier of simply shaded sets. This work extends the result of Peleg [7], which confirms the contractibility of the efficient frontier in the convex case.
Keywords:Simply shaded sets  Efficient frontier  Multiobjective problem  Contractibility
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