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Some Remarks on Dualization in Vector Optimization
Author(s) -
Nakayama Hirotaka
Publication year - 1996
Publication title -
journal of multi‐criteria decision analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.462
H-Index - 47
eISSN - 1099-1360
pISSN - 1057-9214
DOI - 10.1002/(sici)1099-1360(199609)5:3<218::aid-mcda86>3.0.co;2-v
Subject(s) - vector (molecular biology) , vector optimization , computer science , mathematical optimization , mathematics , optimization problem , biology , multi swarm optimization , recombinant dna , genetics , gene
In recent years there have been several reports on duality in vector optimization. However, there seems to be no unified approach to dualization. In a previous paper by the author a geometric consideration was given to duality in non‐linear vector optimization. In this paper a relationship between duality, stability (normality) and condition of the alternative will be reported on the basis of some geometric consideration. In addition, Iserman's duality in linear cases will be derived from the stated geometric approach.