Abstract
We consider scalarization issues for vector problems in the case where the preference relation is represented by a rather arbitrary set. An algorithm for weights choice for a priori unknown preference relations is suggested. Some examples of applications to vector optimization, game equilibrium, and variational inequalities are described.
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Original Russian Text © I.V. Konnov, 2012, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, No. 9, pp. 8–18.
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Konnov, I.V. On scalarization of vector optimization type problems. Russ Math. 56, 5–13 (2012). https://doi.org/10.3103/S1066369X12090022
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DOI: https://doi.org/10.3103/S1066369X12090022