This article is cited in 4 papers

On scalarization of vector optimization type problems

I. V. Konnov

Chair of System Analysis and Information Technologies, Kazan (Volga Region) Federal University, Kazan, Russia

Abstract: We consider scalarization issues for vector problems in the case when the preference relation is represented by a rather arbitrary set. We propose an algorithm for weights choice for a priori unknown preference relations. We give some examples of applications to vector optimization problems, game equilibrium ones, and to variational inequalities.

Keywords: vector problems, scalarization, algorithm for weights choice.

UDC: 519.85

Received: 15.08.2011

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:9, 5–13

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