V. S. Brusov, A. L. Suzdal'tsev, “Application of the set-theoretic approach to accounting of uncertainties in the solution of vector optimization problems”, Avtomat. i Telemekh., 2008, Issue 4,Pages <nobr>94

This article is cited in 2 papers

Control in the Presence of Uncertainty

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

V. S. Brusov^ab, A. L. Suzdal'tsev^a

^a Moscow Aviation Institute
^b Rzeszów University

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.

PACS: 02.50.Le

Presented by the member of Editorial Board: V. N. Bukov

Received: 16.01.2007