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A new approach to risk estimation in many-criteria automatic control systems. I

  • Automatic Control Systems
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Abstract

A new approach to decision making in automatic control systems under risk is designed, in which the performance quality of the system is estimated by several criteria with known variation ranges of uncertain factors and unknown statistical characteristics. A formalization procedure for the guaranteed solution is designed and its existence under the usual constraints (of game theory) is demonstrated. This paper borders on the works [1, 2].

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REFERENCES

  1. Zhukovskaya, L.V., An Approach to Formalization of Risk in Decision Making in Automatic Control Systems, Avtom. Telemekh., 2003, no. 8, pp. 163–171.

  2. Zhukovskaya, L.V. and Mirkin, E.A., A New Approach to Estimating the Effectiveness of Management Decisions under Risk in Automatic Control Systems, Avtom. Telemekh., 2004, no. 4, pp. 166–173.

  3. Ventsel’, E.S., Issledovanie operatsii (Operations Research), Moscow: Znanie, 1976.

    Google Scholar 

  4. Zhukovskiy, V.I. and Salukvadze, M.E., The Vector Valued Maximin, New York: Academic, 1994.

    Google Scholar 

  5. Tanaka, T., Generalized Quasi-convexities of Cone Saddle Point and Minimax Theorem for Vector-Valued Functions, J. Optim. Theory Appl., 1994, vol. 81, no. 2, pp. 355–377.

    Google Scholar 

  6. Ferro, F., Minimax Theorem for Vector-Valued Functions, J. Optim. Theory Appl., 1991, vol. 68, no. 1, pp. 35–48.

    Google Scholar 

  7. Savage, L.U., The Theory of Statistical Decision, J. Am. Stat. Association, 1951, no. 46, pp. 55–67.

  8. Morozov, V.V., Sukharev, A.G., and Fedorov, V.V., Issledovanie operatsii v zadachakh i uprazhneniyakh (Operations Research: Problems and Exercises), Moscow: Vysshaya Shkola, 1986.

    Google Scholar 

  9. Wald, A., Statistical Decision Function, New York: Wiley, 1950. Translated under the title Pozitsionnyeigry, Moscow: Nauka, 1967.

    Google Scholar 

  10. Vorob’ev, N.N., Teoriya igr dlya ekonomistov-kibernetikov (Game Theory for Cybernetic Economists), Moscow: Nauka, 1985.

    Google Scholar 

  11. Vorob’ev, N.N., Osnovy teorii igr. Beskoalitsionnye igry (Elements of Game Theory. Noncooperative Games), Moscow: Nauka, 1984.

    Google Scholar 

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Translated from Avtomatika i Telemekhanika, No. 1, 2005, pp. 164–170.

Original Russian Text Copyright © 2005 by Zhukovskaya.

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Zhukovskaya, L.V. A new approach to risk estimation in many-criteria automatic control systems. I. Autom Remote Control 66, 148–153 (2005). https://doi.org/10.1007/s10513-005-0015-3

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  • DOI: https://doi.org/10.1007/s10513-005-0015-3

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