Abstract
Mathematical optimization problems in various fields of computational electromagnetics show multiple objectives which are partly contradictory. A rectangular wave-guide branching, a permanent magnet synchronous machine and a superconducting dipole magnet are given as examples. These so called vector-optimization problems lead to a set of Pareto-optimal solutions where an objective can only be improved by degrading at least one other objective. The problem is to choose one compromise solution out of this Pareto-optimal solution set by a decision making process formulating the preference in an appropriate mathematical form. The paper describes different methods for decision making and suitable optimization procedures.
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