1 citations · 4 across the 7 of their papers we have counts for
7 papers
Formulas for translative functions
Petra Weidner
In this report, we consider extended real-valued functions on some real vector space. Gerstewitz functionals are used to construct all translative functions. We derive formulas for…
Proper efficiency and cone efficiency
Petra Weidner
In this report, two general concepts for proper efficiency in vector optimization are studied. Properly efficient elements can be defined as minimizers of functionals with certain…
Minimizers of Gerstewitz functionals
Petra Weidner
Scalarization in vector optimization is essentially based on the minimization of Gerstewitz functionals. In this paper, the minimizer sets of Gerstewitz functionals are investigate…
Functions with uniform sublevel sets and scalarization in linear spaces
Petra Weidner
Functions with uniform sublevel sets can represent orders, preference relations or other binary relations and thus turn out to be a tool for scalarization that can be used in multi…
Scalarization in vector optimization by functions with uniform sublevel sets
Petra Weidner
In this paper, vector optimization is considered in the framework of decision making and optimization in general spaces. Interdependencies between domination structures in decision…
Functions with uniform level sets
Petra Weidner
Functions with uniform level sets can represent orders, preference relations or other binary relations and thus turn out to be a tool for scalarization that can be used, e.g., in m…