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Zh. Vychisl. Mat. Mat. Fiz., 2008, Volume 48, Number 11, Pages 1979–1998 (Mi zvmmf84)  

This article is cited in 8 scientific papers (total in 8 papers)

Parametric importance of criteria and intervals of value tradeoff uncertainty in the analysis of multicriteria problems

V. V. Podinovskii

Faculty of Economics, State University-Higher School of Economics, Pokrovskii bulv. 11, Moscow, 109028, Russia

Abstract: Multicriteria decision-making problems under bounded (above, below, or from both sides) continuous or discrete criteria are considered. Methods for comparing variants of solutions using the information accumulated in the form of interval estimates of replacing the values of some criteria by the values of others (such replacements are called tradeoffs; in other words, this can be considered as a compensation of the deterioration of some criteria by improving the values of others) are proposed along with simple consistency conditions of such information. The issue of constructing the set of nondominated variants is discussed.

Key words: multicriteria decision making problems, interval of value tradeoff uncertainty, continuous and discrete criteria.

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English version:
Computational Mathematics and Mathematical Physics, 2008, 48:11, 1981–1998

Bibliographic databases:

UDC: 519.83
Received: 13.06.2007
Revised: 04.03.2008

Citation: V. V. Podinovskii, “Parametric importance of criteria and intervals of value tradeoff uncertainty in the analysis of multicriteria problems”, Zh. Vychisl. Mat. Mat. Fiz., 48:11 (2008), 1979–1998; Comput. Math. Math. Phys., 48:11 (2008), 1981–1998

Citation in format AMSBIB
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\pages 1979--1998
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\pages 1981--1998
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. V. Podinovskii, “Using interval information on relative criteria tradeoffs in analyzing multicriterial decision making problems”, Autom. Remote Control, 71:8 (2010), 1648–1660  mathnet  crossref  mathscinet  zmath  isi
    2. Podinovskii V.V., “Intervalnye otsenki otnositelnykh zameschenii kriteriev v analize mnogokriterialnykh zadach prinyatiya reshenii”, Informatsionnye tekhnologii modelirovaniya i upravleniya, 2010, no. 1(60), 29–37  mathscinet  elib
    3. Podinovskii V.V., “Teoriya vazhnosti kriteriev v mnogokriterialnykh zadachakh prinyatiya reshenii pri neopredelennosti. I. Iskhodnye polozheniya”, Informatsionnye tekhnologii modelirovaniya i upravleniya, 64:5 (2010), 599–607  elib
    4. Podinovskii V.V., Potapov M.A., “Vazhnost kriteriev v mnogokriterialnykh zadachakh prinyatiya reshenii: teoriya, metody, soft i prilozheniya”, Otkrytoe obrazovanie, 2012, no. 2, 55–60  elib
    5. V. V. Podinovskii, “Soglasitelnye resheniya mnogokriterialnykh zadach vybora”, Probl. upravl., 2 (2017), 17–26  mathnet
    6. A. P. Nelyubin, V. V. Podinovski, “Multicriteria choice based on criteria importance methods with uncertain preference information”, Comput. Math. Math. Phys., 57:9 (2017), 1475–1483  mathnet  crossref  crossref  isi  elib  elib
    7. V. V. Podinovski, “Sensitivity analysis of multicriteria choice to changes in intervals of value tradeoffs”, Comput. Math. Math. Phys., 58:3 (2018), 461–469  mathnet  crossref  crossref  isi  elib
    8. V. V. Podinovski, M. A. Potapov, “Analysis of the sensitivity of solutions of multi-criteria problems based on parametric partial preference relations”, Autom. Remote Control, 80:7 (2019), 1294–1303  mathnet  crossref  crossref  isi  elib
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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