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, vol.29, no.4, pp.455-477, 2004 (SCI-Expanded) identifier identifier

Abstract

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.