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Vector-Values Risk in Multicriteria Problems

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Advances in Multiple Objective and Goal Programming

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 455))

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Abstract

Most of the social-economical, technical, organizational situations and processes are characterized by following two factors:

  • functioning quality of controlled systems is estimated by a set of criteria, and not by a single one;

  • it is necessary to take into account the influence of perturbations, interferences and other kind of uncertainties.

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References

  1. ZHUKOVSKIY V.I. and SALUKVADZE M.E. Multicriteria Control Problems under Conditions of Uncertainty, “Metsniereba”, Tbilisi, 1991 (in Russian).

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  2. ZHUKOVSKIY V.I. and MOLOSTVOV V.S. Multicriterion Optimization of Systems in Conditions of Incomplete Information, MNIIPU, Moscow, 1990 (in Russian).

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  3. LUCE R. and RAIFFA H. Games and Decisions, Wiley, New York, 1957.

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  4. SALUKVADZE M.E. Vector-Valued Optimization Problems in Control Theory, Academic Press, New York, 1979.

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  5. VOROBIEV N.N. Theory of Games, Nauka, Moscow, 1985 (in Russian).

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  6. PODINOVSKIY V.V. and NOGIN V.D. Pareto-Optimal Solutions of Multicriteria Problems, Nauka, Moscow, 1982 (in Russian).

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  7. KRASOVSKIY N.N. and SUBBOTIN A.I. Positional Differential Games, Nauka, Moscow, 1974 (in Russian).

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Author information

Authors and Affiliations

  1. Institute of Control Systems, Tbilisi, Georgia, USA

    M. Salukvadze (Professor)

  2. Orekovo-Zuevo Pedagogical Institute, Orekovo-Zuevo, Russia

    A. E. Bardin (Assistant Professor)

Authors
  1. M. Salukvadze
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  2. A. E. Bardin
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Editor information

Editors and Affiliations

  1. Departamento de Economía Aplicada (Matemáticas) Facultad de Ciencias Económicas y Empresariales, University of Málaga, Campus El Ejido s/n, 29071, Málaga, Spain

    Rafael Caballero  & Francisco Ruiz  & 

  2. Faculty of Management Science, University of Georgia, 206 Brooks Hall, 30602-6255, Athens, Georgia, USA

    Ralph Steuer

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© 1997 Springer-Verlag Berlin Heidelberg

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Salukvadze, M., Bardin, A.E. (1997). Vector-Values Risk in Multicriteria Problems. In: Caballero, R., Ruiz, F., Steuer, R. (eds) Advances in Multiple Objective and Goal Programming. Lecture Notes in Economics and Mathematical Systems, vol 455. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46854-4_26

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  • DOI: https://doi.org/10.1007/978-3-642-46854-4_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63599-4

  • Online ISBN: 978-3-642-46854-4

  • eBook Packages: Springer Book Archive

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