Vector optimization: Singularities, regularizations

We discuss three scalarizations of the multiobjective optimization from the point of view of the parametric optimization. We analize three important aspects: i) What kind of singularities may appear in the diierent parametriza-tions ii) Regularizations in the sense of Jongen, Jonker and Twilt, and in the sense of Kojima and Hirabayashi. iii) The Mangasarian-Fromovitz Constraint Qualiication for the rst parametrization.