Skip to main content
SpringerLink
Log in

Interval estimation of alternatives in decision-making problems

  • Systems Analysis
  • Published:
Cybernetics and Systems Analysis Aims and scope

The paper considers interval models for decision-making under interval uncertainty. To solve problems with interval output data, modified methods are proposed based on deterministic methods of decision-making and interval analysis.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R.L. Keeny and H. Raiffa, Decision Making with Multiple Objectives: Preferences and Value Tradeoffs, Cambridge Univ. Press, Cambridge (1993).

    Google Scholar 

  2. H. Dyckhoff, G. Scheithauer, and J. Terno, Cutting and Packing, in: M. Dell’Amico, F. Maffioli, and S. Martello (eds.), Annotated Bibliographies in Combinatorial Optimization, Chichester, John Wiley & Sons (1997), pp. 393–412.

    Google Scholar 

  3. I. V. Sergienko and N. V. Semenova, “Integer programming problems with inexact data: Exact and approximate solutions,” Cybern. Syst. Analysis, 31, No. 6, 842–851 (1995).

    Article  MATH  MathSciNet  Google Scholar 

  4. V. V. Podinovskii, “The problem of estimation of importance factors as a symmetric-lexicographic problem of optimization,” Autom. Remote Control, 64, No. 3, 480–492 (2003).

    Article  MATH  MathSciNet  Google Scholar 

  5. A. O. Ovezgel’dyev and K. E. Petrov, “Estimation and ranking of alternatives under interval uncertainty,” Cybern. Syst. Analysis, 41, No. 4, 599–603 (2005).

    Article  MATH  MathSciNet  Google Scholar 

  6. Yu. G. Stoyan, “Metric space of centered intervals,” Dokl. NAN Ukrainy, Ser. A, No. 7, 23–25 (1996).

  7. A. O. Ovezgel’dyev, E. G. Petrov, and K. E. Petrov, Synthesis and Identification of Models of Multifactor Estimation and Optimization [in Russian], Naukova Dumka, Kyiv (2002).

    Google Scholar 

  8. T. E. Romanova, “Interval space \( {\rm\bf{I}}_{\rm\bf{s}}^{\rm\bf{n}} {\rm\bf{R}} \). Interval equations,” Dokl. NAN Ukrainy, Ser. A, No. 9, 36–41 (2000).

  9. V. V. Podinovskii and V. M. Gavrilov, Optimization Using Sequentially Applied Criteria [in Russian], Sov. Radio, Moscow (1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kharkov National University of Radioelectronics, Kharkov, Ukraine

    I. V. Grebennik

  2. A. N. Podgornyi Institute of Problems of Mechanical Engineering, Kharkov, Ukraine

    T. E. Romanova

  3. Kharkov National University of Internal Affairs, Kharkov, Ukraine

    S. B. Shekhovtsov

Authors
  1. I. V. Grebennik
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. E. Romanova
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. B. Shekhovtsov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. V. Grebennik.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 106–115, March–April 2009.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Grebennik, I.V., Romanova, T.E. & Shekhovtsov, S.B. Interval estimation of alternatives in decision-making problems. Cybern Syst Anal 45, 253–262 (2009). https://doi.org/10.1007/s10559-009-9103-7

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10559-009-9103-7

Keywords

Search

Navigation