Vector Optimization with Infimum and Supremum
Andreas Lohne
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Description for Vector Optimization with Infimum and Supremum
Hardback. The theory of Vector Optimization is developed by a systematic usage of infimum and supremum. This book presents a completely new approach to the topic. It covers the range from theory to algorithms, and includes a self-contained chapter on the linear case. Series: Vector Optimization. Num Pages: 216 pages, biography. BIC Classification: PBF; PBU. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 14. Weight in Grams: 491.
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 space of self-infimal sets. Based on this idea we establish solution concepts, existence and duality results and algorithms for the linear case. The main advantage of this approach is the high degree of analogy to corresponding results of Scalar Optimization. The concepts and results are used to explain and ... Read more
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 space of self-infimal sets. Based on this idea we establish solution concepts, existence and duality results and algorithms for the linear case. The main advantage of this approach is the high degree of analogy to corresponding results of Scalar Optimization. The concepts and results are used to explain and ... Read more
Product Details
Format
Hardback
Publication date
2011
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
216
Condition
New
Series
Vector Optimization
Number of Pages
206
Place of Publication
Berlin, Germany
ISBN
9783642183508
SKU
V9783642183508
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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