Abstract
The problem of optimization of a complex system by the vector criterion is considered in terms of the set theory. The suggested approach to its solution is based on the formal description of a set of the weight factors of partial indices of effectiveness by the system of inequalities proceeding from the nonstrict and incomplete system of preferences of the decision-maker (DM), which enables us to reduce the calculation of values of both the integral and the guaranteeing criterion of optimality to the solution of a simple geometric problem
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Original Russian Text © V.S. Brusov, A.L. Suzdal’tsev, 2008, published in Avtomatika i Telemekhanika, 2008, No. 4, pp. 94–100.
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Brusov, V.S., Suzdal’tsev, A.L. Application of the set-theoretic approach to accounting of uncertainties in the solution of vector optimization problems. Autom Remote Control 69, 630–636 (2008). https://doi.org/10.1134/S0005117908040097
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DOI: https://doi.org/10.1134/S0005117908040097