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Lexicographic optima in the multicriteria discrete optimization problem

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Abstract

It is shown that any lexicographic optimum in vector optimization problems on a finite set of admissible solutions can be obtained by a classical technique, the linear convolution of criteria.

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Translated fromMatematicheskie Zametki, Vol. 58, No. 3, pp. 365–370, September, 1995.

This work was financed by the Foundation for Basic Research of the Belarus Republic (grant No. 242 23-70).

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Emelichev, V.A., Kravtsov, M.K. & Yanushkevich, O.A. Lexicographic optima in the multicriteria discrete optimization problem. Math Notes 58, 928–932 (1995). https://doi.org/10.1007/BF02304769

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