Geodesic
Models of multi-criteria optimization with quality criteria
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 2, pp. 37-44 
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/
@article{ISU_2013_13_2_a5,
     author = {V. V. Rozen and D. S. Smirnova},
     title = {Models of multi-criteria optimization with quality criteria},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {37--44},
     year = {2013},
     volume = {13},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2013_13_2_a5/}
}
TY  - JOUR
AU  - V. V. Rozen
AU  - D. S. Smirnova
TI  - Models of multi-criteria optimization with quality criteria
JO  - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY  - 2013
SP  - 37
EP  - 44
VL  - 13
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ISU_2013_13_2_a5/
LA  - ru
ID  - ISU_2013_13_2_a5
ER  - 
%0 Journal Article
%A V. V. Rozen
%A D. S. Smirnova
%T Models of multi-criteria optimization with quality criteria
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2013
%P 37-44
%V 13
%N 2
%U http://geodesic.mathdoc.fr/item/ISU_2013_13_2_a5/
%G ru
%F ISU_2013_13_2_a5

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[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