Basic properties of scalarizmg functionals for multiobjective optimization
Andrzej P. Wierzbick · Mathematische Operationsforschung und Statistik Series Optimization · 1977
If a partial ordering or preordering induced by a cone D defines a multi objective optimization problem, then scalarizing functionals for this problem shall posses two basic properties. D – monotonicity and D e approximation. Several ways of constructing functionals with these properties are discussed in the paper.