Abstract
In this paper we show how a nonlinear scalarization functional can be used in order to characterize set order relations. We will show that this functional plays a key role in set optimization. As set order relations, we consider the upper set less order relation and the lower set less order relation introduced by Kuroiwa [10,9] and the set less order relation which was introduced independently by Young [13] and Nishnianidze [11]. Our approaches do not rely on any convexity assumptions on the considered sets.
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Köbis, E., Tammer, C. (2015). Characterization of Set Relations by Means of a Nonlinear Scalarization Functional. In: Le Thi, H., Pham Dinh, T., Nguyen, N. (eds) Modelling, Computation and Optimization in Information Systems and Management Sciences. Advances in Intelligent Systems and Computing, vol 359. Springer, Cham. https://doi.org/10.1007/978-3-319-18161-5_42
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DOI: https://doi.org/10.1007/978-3-319-18161-5_42
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-18160-8
Online ISBN: 978-3-319-18161-5
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