Multi-Objective Optimization Using Evolutionary Algorithms
Multi-Objective Optimization Using Evolutionary Algorithms
Combining convergence and diversity in evolutionary multiobjective optimization
Evolutionary Computation
Fuzzy group decision-making for facility location selection
Information Sciences—Informatics and Computer Science: An International Journal
A multi-objective evolutionary algorithm with weighted-sum niching for convergence on knee regions
Proceedings of the 8th annual conference on Genetic and evolutionary computation
Multiobjective controller design handling human preferences
Engineering Applications of Artificial Intelligence
Heatmap visualization of population based multi objective algorithms
EMO'07 Proceedings of the 4th international conference on Evolutionary multi-criterion optimization
Well-distributed Pareto front by using the ∉-MOGA evolutionary algorithm
IWANN'07 Proceedings of the 9th international work conference on Artificial neural networks
Qualitative Chance Discovery - Extracting competitive advantages
Information Sciences: an International Journal
Chromosome refinement for optimising multiple supply chains
Information Sciences: an International Journal
Air management in a diesel engine using fuzzy control techniques
Information Sciences: an International Journal
Information Sciences: an International Journal
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
Visualizing 4D approximation sets of multiobjective optimizers with prosections
Proceedings of the 13th annual conference on Genetic and evolutionary computation
EvoApplicatons'10 Proceedings of the 2010 international conference on Applications of Evolutionary Computation - Volume Part I
Multiobjective evolutionary algorithms for multivariable PI controller design
Expert Systems with Applications: An International Journal
Comparison of design concepts in multi-criteria decision-making using level diagrams
Information Sciences: an International Journal
A co-evolutionary multi-objective optimization algorithm based on direction vectors
Information Sciences: an International Journal
Visualization and exploration of optimal variants in product line engineering
Proceedings of the 17th International Software Product Line Conference
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New challenges in engineering design lead to multiobjective (multicriteria) problems. In this context, the Pareto front supplies a set of solutions where the designer (decision-maker) has to look for the best choice according to his preferences. Visualization techniques often play a key role in helping decision-makers, but they have important restrictions for more than two-dimensional Pareto fronts. In this work, a new graphical representation, called Level Diagrams, for n-dimensional Pareto front analysis is proposed. Level Diagrams consists of representing each objective and design parameter on separate diagrams. This new technique is based on two key points: classification of Pareto front points according to their proximity to ideal points measured with a specific norm of normalized objectives (several norms can be used); and synchronization of objective and parameter diagrams. Some of the new possibilities for analyzing Pareto fronts are shown. Additionally, in order to introduce designer preferences, Level Diagrams can be coloured, so establishing a visual representation of preferences that can help the decision-maker. Finally, an example of a robust control design is presented - a benchmark proposed at the American Control Conference. This design is set as a six-dimensional multiobjective problem.