Scalarization

Johannes Jahn ()
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Johannes Jahn: Universität Erlangen-Nürnberg

Chapter Chapter 5 in Vector Optimization, 2011, pp 115-148 from Springer

Abstract: Abstract 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.

Keywords: Linear Space; Nonempty Subset; Minimal Element; Vector Optimization Problem; Multiobjective Optimization Problem (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-3-642-17005-8_5

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