arrow
Return

On vectorization strategies in set optimization

delete2026-01-01
delete0
PRE
AI
G
Gabriele Eichfelder *
T
Tobias Gerlach
DOI:10.1007/s00186-025-00912-4delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
In this paper, we investigate solution approaches in set optimization that are based on so-called vectorization strategies. Thereby, the original set-valued problems are reformulated as multi-objective optimization problems, whose optimal solution sets approximate those of the original ones in a certain sense. We consider both infinite-dimensional and finite-dimensional vectorization approaches. In doing so, we collect and discuss the most important properties and relationships between the approaches.
Keywords:
Set optimization
Set approach
Multi-objective optimization
Vectorization

Journal

M
Mathematical Methods of Operations Research
IF:
1.2
Papers:
24
Citations:
0

Organization

T
Technische Universitat Ilmenau
Scholars:
2.4K
Papers: 2.0K
Citations: 20