Perturbed ordering cones for the analysis of vector optimization problems under uncertainty

Authors

  • T.T. Lebedeva
  • N.V. Semenova
  • T. I. Sergienko

DOI:

https://doi.org/10.15407/dopovidi2014.06.042

Keywords:

rdering cones, uncertainty, vector optimization

Abstract

The analysis of the properties of perturbed cones that partially order the set of admissible solutions of the vector optimization problem with respect to linear objective functions is carried out. The structure of the set of specifically perturbed ordering cones with different values of the parameter of perturbations of the input data is studied.

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References

Podinovskuy V. V., Nogin V. D. Pareto-optimal solutions of multicriteria problems. Moscow: Nauka, 1982 (in Russian).

Smale S. J. Math. Econ., 1974, No. 1: 213–221. https://doi.org/10.1016/0304-4068(74)90013-5

Rokafellar R. Convex analysis. Moscow: Mir, 1973 (in Russian).

Pshenichny B. N., Danilin Yu. M. Numerical methods in extremal problems. Moscow: Nauka, 1975 (in Russian).

Kozeratska L. N., Lebedeva T. T., Sergienko T. I. Kibernetika, 1991, No. 1: 58–61 (in Russian).

Kozeratska L. N., Lebedeva T. T., Sergienko T. I. Kibernetika i sistem. analiz., 1993, No. 3: 172–176 (in Russian).

Kozeratska L. N. Kibernetika i sistem. analiz, 1994, No. 6: 122–133 (in Russian).

Sergienko T. I., Kozeratska L. N., Lebedeva T. T. Investigation of stability and parametric analysis of discrete optimization problems. Kyiv: Nauk. dumka, 1995 (in Russian).

Sergienko T. I., Kozeratska L. N., Kononova A. A. Kibernetika i sistem. analiz., 1997, No. 1: 3–10 (in Russian).

Kozeratska L., Forbes J. F., Goebel R. J., Kresta J. V. Linear algebra and its applications, 2004, 378: 203–229. https://doi.org/10.1016/j.laa.2003.09.013

Published

26.02.2025

How to Cite

Lebedeva, T., Semenova, N., & Sergienko, T. I. (2025). Perturbed ordering cones for the analysis of vector optimization problems under uncertainty . Reports of the National Academy of Sciences of Ukraine, (6), 42–47. https://doi.org/10.15407/dopovidi2014.06.042

Issue

Section

Information Science and Cybernetics

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