Scalarization and nonlinear scalar duality for vector optimization with preferences that are not necessarily a pre-order relation


Rubinov A., Gasimov R.

JOURNAL OF GLOBAL OPTIMIZATION, cilt.29, sa.4, ss.455-477, 2004 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Konu: 4
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1023/b:jogo.0000047914.22567.66
  • Dergi Adı: JOURNAL OF GLOBAL OPTIMIZATION
  • Sayfa Sayıları: ss.455-477

Özet

We consider problems of vector optimization with preferences that are not necessarily a pre-order relation. We introduce the class of functions which can serve for a scalarization of these problems and consider a scalar duality based on recently developed methods for non-linear penalization scalar problems witha single constraint.