Intuitive design selection using visualized n-dimensional Pareto Frontier

A visualization methodology is presented in which a Pareto Frontier can be visualized in an intuitive and straightforward manner for an n-dimensional performance space. An approach for preference incorporation is presented that enables a designer to quickly identify 'good' points and regions of the performance spaces For a multi-objective optimization application, regardless of space complexity, numbers of objectives, or numbers of Pareto points. Visualizing Pareto solutions for more than three objectives has long been a significant challenge to the multi-objective optimization community. The Hyper-space Diagonal Counting (HSDC) method described here enables the lossless visualization to be implemented to achieve a hyperspace Pareto frontier. In this paper, we demonstrate the incredible power of using the hyperspace Pareto frontier as a visualization tool for design concept selection in a multiobjective optimization environment.