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Published in:
2011 | OriginalPaper | Chapter
Scalarization
Author : Prof. Dr. Johannes Jahn
Published in: Vector Optimization
Publisher: Springer Berlin Heidelberg
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In general, scalarization means the replacement of a vector optimization problem by a suitable scalar optimization problem which is an optimization problem with a real-valued objective functional. It is a fundamental principle in vector optimization that optimal elements of a subset of a partially ordered linear space can be characterized as optimal solutions of certain scalar optimization problems. Since the scalar optimization theory is widely developed scalarization turns out sto be of great importance for the vector optimization theory.