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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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Published in: | Automation and remote control 2008-04, Vol.69 (4), p.630-636 |
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container_title | Automation and remote control |
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creator | Brusov, V. S. Suzdal’tsev, A. L. |
description | 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 |
doi_str_mv | 10.1134/S0005117908040097 |
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L.</creatorcontrib><collection>CrossRef</collection><jtitle>Automation and remote control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Brusov, V. S.</au><au>Suzdal’tsev, A. L.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Application of the set-theoretic approach to accounting of uncertainties in the solution of vector optimization problems</atitle><jtitle>Automation and remote control</jtitle><stitle>Autom Remote Control</stitle><date>2008-04-01</date><risdate>2008</risdate><volume>69</volume><issue>4</issue><spage>630</spage><epage>636</epage><pages>630-636</pages><issn>0005-1179</issn><eissn>1608-3032</eissn><abstract>The problem of optimization of a complex system by the vector criterion is considered in terms of the set theory. 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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 |
title | Application of the set-theoretic approach to accounting of uncertainties in the solution of vector optimization problems |
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