Abstract
The topic of this paper are discrete decision problems with multiple criteria. We first define discrete multiple criteria decision problems and introduce a classification scheme for multiple criteria optimization problems. To do so we use multiple criteria optimization classes. The main result is a characterization of the class of lexicographic max-ordering problems by two very useful properties, reduction and regularity. Subsequently we discuss the assumptions under which the application of this specific MCO class is justified. Finally we provide (simple) solution methods to find optimal decisions in the case of discrete multiple criteria optimization problems.
partially supported by the Deutsche Forschungsgemeinschaft (DFG) and grant ERBCHRXCT930087 of the European HC&M Programme
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© 1998 Springer-Verlag Berlin Heidelberg
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Ehrgott, M. (1998). Discrete Decision Problems, Multiple Criteria Optimization Classes and Lexicographic Max-Ordering. In: Stewart, T.J., van den Honert, R.C. (eds) Trends in Multicriteria Decision Making. Lecture Notes in Economics and Mathematical Systems, vol 465. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45772-2_3
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DOI: https://doi.org/10.1007/978-3-642-45772-2_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-64741-6
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