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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 9, Pages 8–18
(Mi ivm8734)
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This article is cited in 4 scientific papers (total 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.
Received: 15.08.2011
Citation:
I. V. Konnov, “On scalarization of vector optimization type problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 9, 8–18; Russian Math. (Iz. VUZ), 56:9 (2012), 5–13
Linking options:
https://www.mathnet.ru/eng/ivm8734 https://www.mathnet.ru/eng/ivm/y2012/i9/p8
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Abstract page: | 271 | Full-text PDF : | 82 | References: | 39 | First page: | 6 |
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