A new graphical visualization of n-dimensional Pareto front for decision-making in multiobjective optimization

摘要: New challenges in engineering design lead to multiobjective (multicriteria) problems. In this context, the Pareto front supplies a set of solutions where designer (decision-maker) has look for best choice according his preferences. Visualization techniques often play key role helping decision-makers, but they have important restrictions more than two-dimensional fronts. work, new graphical representation, called Level Diagrams, n-dimensional analysis is proposed. Diagrams consists representing each objective and parameter on separate diagrams. This technique based two points: classification points their proximity ideal measured with specific norm normalized objectives (several norms can be used); synchronization Some possibilities analyzing fronts are shown. Additionally, order introduce preferences, coloured, so establishing visual representation preferences that help decision-maker. Finally, an example robust control presented - benchmark proposed at American Control Conference. as six-dimensional problem.