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Models of multi-criteria optimization with quality criteria
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 2, pp. 37-44 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider mathematical models of multi-criteria optimization with quality criteria. The main problem is a construction of preference relations on the set of alternatives and an investigation of its mathematical properties. Two methods for contraction of Pareto-optimal set are proposed. The first method is based on introduction of a partial order relation on the set of criteria and the second leans selection of the most important groups of criteria. 
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V. V. Rozen; D. S. Smirnova. Models of multi-criteria optimization with quality criteria. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 2, pp. 37-44. http://geodesic.mathdoc.fr/item/ISU_2013_13_2_a5/

[1] Podinovskiy V. V., Noghin V. D., Pareto-optimal decisions of multi-criteria problems, Nauka, Moscow, 1982, 256 pp. | MR

[2] Smirnova D. S., “Models of multi-criteria optimizations with partially ordered set of criteria”, Komp'iuternye nauki i informatsionnye tekhnologii, Materialy mezhdunar. nauch. konf., Saratov, 2012, 293

[3] Rozen V. V., “Mathematical models of multi-criteria optimization under quality criteria”, Komp'iuternye nauki i informatsionnye tekhnologii, Materialy mezhdunar. nauch. konf., Saratov, 2012, 266