Discrete Decision Problems, Multiple Criteria Optimization Classes and Lexicographic Max-Ordering

  • Matthias Ehrgott
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 465)


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.


Discrete decision problems Classification Lexicographic max- ordering 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Matthias Ehrgott
    • 1
  1. 1.Department of-MathematicsUniversity of KaiserslauternGermany

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