Vectorization in Set Optimization

Vectorization in Set Optimization

In analogy to the scalarization principle in vector optimization, this paper presents a new vectorization approach for set optimization problems. Vectorization means the replacement of a set optimization problem by a suitable vector optimization problem. This approach is developed for the set less o...

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Veröffentlicht in:Journal of optimization theory and applications 2015-12, Vol.167 (3), p.783-795
1. Verfasser: Jahn, Johannes
Format: Artikel
Sprache:eng
Schlagworte:
Analogies
Applications of Mathematics
Calculus of Variations and Optimal Control
Optimization
Engineering
Inequality
Mathematical analysis
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Set theory
Studies
Theory of Computation
Vectors (mathematics)
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Beschreibung
Zusammenfassung:In analogy to the scalarization principle in vector optimization, this paper presents a new vectorization approach for set optimization problems. Vectorization means the replacement of a set optimization problem by a suitable vector optimization problem. This approach is developed for the set less order relation used by Kuroiwa and the minmax less order relation introduced by Ha and Jahn.
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-013-0363-z