Application of the set-theoretic approach to accounting of uncertainties in the solution of vector optimization problems

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...

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Bibliographic Details
Published in:Automation and remote control 2008-04, Vol.69 (4), p.630-636
Main Authors: Brusov, V. S., Suzdal’tsev, A. L.
Format: Article
Language:English
Subjects:
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Computer-Aided Engineering (CAD
Control
Control in the Presence of Uncertainty
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Robotics
Systems Theory
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Summary: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
ISSN:0005-1179
1608-3032
DOI:10.1134/S0005117908040097