Title
Introducing oblique norms into multiple criteria programming
Abstract
We propose to use block norms to generate nondominated solutions of multiple criteria programs and introduce the new concept of the oblique norm that is specially tailored to handle general problems. We prove the equivalence of finding the properly nondominated solutions of a multiple criteria program and solving its scalarization by means of oblique norms.
Year
DOI
Venue
2002
10.1023/A:1014021806919
Journal of Global Optimization
Keywords
Field
DocType
Multiple criteria programming,Oblique norms,Block norms,Properly nondominated solutions
Mathematical optimization,Oblique case,Multiple criteria,Norm (social),Equivalence (measure theory),Mathematics
Journal
Volume
Issue
ISSN
23
1
1573-2916
Citations 
PageRank 
References 
10
1.23
5
Authors
3
Name
Order
Citations
PageRank
Bernd Schandl1213.19
Kathrin Klamroth257941.93
Margaret M. Wiecek321322.90