Title
Unbiased approximation in multicriteria optimization
Abstract
.   Algorithms generating piecewise linear approximations of the nondominated set for general, convex and nonconvex, multicriteria programs are developed. Polyhedral distance functions are used to construct the approximation and evaluate its quality. The functions automatically adapt to the problem structure and scaling which makes the approximation process unbiased and self-driven. Decision makers preferences, if available, can be easily incorporated but are not required by the procedure.
Year
DOI
Venue
2003
10.1007/s001860200217
Math. Meth. of OR
Keywords
Field
DocType
multicriteria programs,approximation,nondominated set,dis- tance functions,multicriteria optimization,decision maker,distance function
Discrete mathematics,Approximation algorithm,Mathematical optimization,Piecewise linear approximation,Polyhedron,Regular polygon,Multicriteria analysis,Multi-objective optimization,Multiobjective programming,Scaling,Mathematics
Journal
Volume
Issue
ISSN
56
3
1432-2994
Citations 
PageRank 
References 
20
1.75
6
Authors
3
Name
Order
Citations
PageRank
Kathrin Klamroth157941.93
Jørgen Tind214922.29
Margaret M. Wiecek321322.90