Geodesic
Conditions for the efficiency of a solution of a vector discrete optimization problem
Diskretnaya Matematika, Tome 11 (1999) no. 1, pp. 140-145.

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For some classes of multicriteria problems with a finite set of vector valuations, necessary and sufficient conditions of the Pareto-optimality of the solution in terms of a sum of modified criteria are found, and, in particular, in terms of a sum of positive powers of criteria.This research was supported by the Foundation for Basic Research of Republic Byelarus, grant F97-266. 
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V. A. Emelichev; A. V. Pashkevich; O. A. Yanushkevich. Conditions for the efficiency of a solution of a vector discrete optimization problem. Diskretnaya Matematika, Tome 11 (1999) no. 1, pp. 140-145. http://geodesic.mathdoc.fr/item/DM_1999_11_1_a9/