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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 9, Pages 8–18 (Mi ivm8734)  

This article is cited in 4 scientific papers (total in 4 papers)

On scalarization of vector optimization type problems

I. V. Konnov

Chair of System Analysis and Information Technologies, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (208 kB) Citations (4)
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Abstract: We consider scalarization issues for vector problems in the case when the preference relation is represented by a rather arbitrary set. We propose an algorithm for weights choice for a priori unknown preference relations. We give some examples of applications to vector optimization problems, game equilibrium ones, and to variational inequalities.
Keywords: vector problems, scalarization, algorithm for weights choice.
Received: 15.08.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 9, Pages 5–13
DOI: https://doi.org/10.3103/S1066369X12090022
Bibliographic databases:
Document Type: Article
UDC: 519.85
Language: Russian
Citation: I. V. Konnov, “On scalarization of vector optimization type problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 9, 8–18; Russian Math. (Iz. VUZ), 56:9 (2012), 5–13
Citation in format AMSBIB
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\by I.~V.~Konnov
\paper On scalarization of vector optimization type problems
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 9
\pages 8--18
\mathnet{http://mi.mathnet.ru/ivm8734}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3136484}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 9
\pages 5--13
\crossref{https://doi.org/10.3103/S1066369X12090022}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866297776}
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  • https://www.mathnet.ru/eng/ivm/y2012/i9/p8
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:271
    Full-text PDF :82
    References:39
    First page:6
     
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