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Solution of the problem concerning a conditional extremum under fuzzy constraints

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Abstract

The solution of the conditional extremum problem by Lagrange’s method of undetermined coefficients under fuzzy constraints on the expenditure function was proposed. The problem is solved by using a special example of the availability maximization of a double-link communication system. A disadvantage of the solution is pointed out, and problems for further study are stated.

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References

  1. Ramli, A., Abdullah, M.L., and Mamat, M., Broyden’s Method for Solving Fuzzy Nonlinear Equations, in Advances in Fuzzy Systems, 2010, pp. 1–6, Article ID 763270.

  2. Smagin, V.A., Calculation of Attribute of Function with Fuzzy Argument, in Sbornik tipovykh algoritmov i programm (Collection of Typical Algorithms and Programs), 2010, no. 43, pp. 37–41.

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Authors and Affiliations

  1. Mozhaisky Military Space Engineering Academy, ul. Krasny Kursant 16, Saint Petersburg, 197082, Russia

    V. A. Smagin

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  1. V. A. Smagin
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Correspondence to V. A. Smagin.

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Original Russian Text © V.A. Smagin, 2011, published in Avtomatika i Vychislitel’naya Tekhnika, 2011, No. 2, pp. 29–35.

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Smagin, V.A. Solution of the problem concerning a conditional extremum under fuzzy constraints. Aut. Conrol Comp. Sci. 45, 80–85 (2011). https://doi.org/10.3103/S0146411611020076

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  • DOI: https://doi.org/10.3103/S0146411611020076

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