The relationship between multi-objective robustness concepts and set-valued optimization

In this paper, we discuss the connection between concepts of robustness for multi-objective optimization problems and set order relations. We extend some of the existing concepts to general spaces and cones using set relations. Furthermore, we derive new concepts of robustness for multi-objective op...

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Bibliographic Details
Published in:	Fixed point theory and applications (Hindawi Publishing Corporation) Vol. 2014; no. 1; pp. 1 - 20
Main Authors:	Ide, Jonas, Köbis, Elisabeth, Kuroiwa, Daishi, Schöbel, Anita, Tammer, Christiane
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 31.03.2014
Subjects:	Algorithms Analysis Applications of Mathematics Cones Differential Geometry Joints Mathematical and Computational Biology Mathematics Mathematics and Statistics Optimization Robustness Topology Variational Analysis and Fixed Point Theory vectorization scalarization set-valued optimization multi-objective optimization robust optimization
ISSN:	1687-1820, 1687-1812
Online Access:	Get full text
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