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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2021 Volume 190, Pages 3–13 (Mi into746)

Some approaches to linear multicriteria optimization problems

E. M. Aristova

Voronezh State University

Abstract: In this paper, we describe three approaches to problems of linear multicriteria optimization: the method of folding a vector criterion into a super criterion, the approximation principle an ideal solution, and the method based on the conflict measure between target criteria.

Keywords: Pareto optimal solution, multicriteria optimization, gradient, objective function, coefficient of interaction, matrix of interaction, cooperation, conflict, majority principle, rule of making decisions.

UDC: 62C86, 90C05

MSC: 62C86, 90C05

DOI: 10.36535/0233-6723-2021-190-3-13



© Steklov Math. Inst. of RAS, 2025