Vector Optimization with Infimum and Supremum

• Main Author: Löhne, Andreas (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Series: Vector Optimization,
• Subjects: Business.; Operations research.; Decision making.; Algebra.; Ordered algebraic structures.; Algorithms.; Mathematical optimization.; Management science.; Business and Management.; Operation Research/Decision Theory.; Optimization.; Order, Lattices, Ordered Algebraic Structures.; Operations Research, Management Science.

The theory of Vector Optimization is developed by a systematic usage of infimum and supremum. In order to get existence and appropriate properties of the infimum, the image space of the vector optimization problem is embedded into a larger space, which is a subset of the power set, in fact, the spac...