Work

On vectorization strategies in set optimization

Year: 2026

Type: article

Abstract: 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.

Source: Mathematical Methods of Operations Research

DOI: 10.1007/s00186-025-00912-4

Authors: Gabriele Eichfelder, Tobias Gerlach

Institution: Technische Universität Ilmenau

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: Technische Universität Ilmenau