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Vector optimization with equivalent and priority criteria

  • Systems Analysis and Operations Research
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Journal of Computer and Systems Sciences International Aims and scope

Abstract

In this paper, the theory and methods of solving the vector problem of mathematical programming with equivalent criteria and with a given criterion priority are presented. The question of the dimension of the problem is studied; here, in its solution and geometrical interpretation, methods with a criterion priority are used. The methodology, the problem-solving methods, and optimal decision making are demonstrated by the test example in the MATLAB system.

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    Authors and Affiliations

    1. Far Eastern Federal University, Vladivostok, 690090, Russia

      K. Yu. Mashunin & Yu. K. Mashunin

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    1. K. Yu. Mashunin
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    2. Yu. K. Mashunin
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    Correspondence to K. Yu. Mashunin.

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    Original Russian Text © K.Yu. Mashunin, Yu.K. Mashunin, 2017, published in Izvestiya Akademii Nauk, Teoriya i Sistemy Upravleniya, 2017, No. 6, pp. 80–99.

    Yu.K. Mashunin: the general statement of the problem and its solution; K.Yu. Mashunin: the software development in the MATLAB system.

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    Mashunin, K.Y., Mashunin, Y.K. Vector optimization with equivalent and priority criteria. J. Comput. Syst. Sci. Int. 56, 975–996 (2017). https://doi.org/10.1134/S1064230717060119

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    • DOI: https://doi.org/10.1134/S1064230717060119

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