Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Rozen V. V., Smirnova D. S. Models of multi-criteria optimization with quality criteria. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, vol. 13, iss. 2, pp. 37-44. DOI: 10.18500/1816-9791-2013-13-2-2-37-44, EDN: RHABIV

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
25.05.2013
Full text:
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Language: 
Russian
Heading: 
Computer Sciences
UDC: 
519.83
DOI: 
10.18500/1816-9791-2013-13-2-2-37-44
EDN: 
RHABIV

Models of multi-criteria optimization with quality criteria

Autors: 
Rozen Viktor Vladimirovich, Saratov State University
Smirnova D S, Saratov State University
Abstract: 

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. 

Key words: 
model of multi-criteria optimization
preference relation
Pareto-optimality
winning coalition of criteria
References: 
  1. Podinovskiy V. V., Noghin V. D. Pareto-optimal’nye resheniia mnogokriterial’nykh zadach [Pareto-optimal decisions of multi-criteria problems]. Moscow, Nauka, 1982, 256 p. (in Russian).
  2. Smirnova D. S. Modeli mnogokriterial’noi optimizatsii s chastichno uporiadochennym mnozhestvom kriteriev [Models of multi-criteria optimizations with partially ordered set of criteria]. Komp’iuternye nauki i informatsionnye tekhnologii : materialy mezhdunar. nauch. konf., Saratov, 2012, pp. 293 (in Russian).
  3. Rozen V. V. Matematicheskie modeli mnogokriterial’noi optimizatsii po kachestvennym kriteriiam [Mathematical models of multi-criteria optimization under quality criteria]. Komp’iuternye nauki i informatsionnye tekhnologii : materialy mezhdunar. nauch. konf. Saratov, 2012. pp. 266 (in Russian). 8 Scientific
Received: 
09.11.2012
Accepted: 
21.04.2013
Published: 
31.05.2013
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