Hyper-Radial Visualization (HRV) method with range-based preferences for multi-objective decision making

A visualization-based methodology is developed in which a Hyperspace Pareto Frontier (HPF) can be represented for design concept selection. The new approach is termed the Hyper-Radial Visualization (HRV) method. The HRV method enables designers to investigate trade-off decisions between Pareto solut...

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Bibliographic Details
Published in:Structural and multidisciplinary optimization 2010, Vol.40 (1-6), p.97-115
Main Authors: Chiu, Po-Wen, Bloebaum, Christina L.
Format: Article
Language:English
Subjects:
Color coding
Computational Mathematics and Numerical Analysis
Decision making
Designers
Engineering
Engineering Design
Hyperspaces
Mopping
Multiple objective analysis
Optimization
Preferences
Research Paper
Theoretical and Applied Mechanics
Tradeoffs
Viability
Visualization
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Summary:A visualization-based methodology is developed in which a Hyperspace Pareto Frontier (HPF) can be represented for design concept selection. The new approach is termed the Hyper-Radial Visualization (HRV) method. The HRV method enables designers to investigate trade-off decisions between Pareto solutions by their relative position in an HRV-based visualization. Three a posteri range-based preference incorporation approaches are proposed in this paper that can be combined with HRV-based visualizations to enable designers to quickly identify better regions in high dimensional performance space for Multi-objective Optimization Problems (MOPs). The paper first explains the details of the HRV method, which can generate a meaningful representation of an HPF. Second, three color-coding preference schemes are proposed in this work to enable intuitive trade-off studies using the HRV-based HPF visualizations. Finally, several MOPs are used to investigate the performance of the HRV-based preference approaches that have been proposed. The viability and desirability of using the HRV for decision making support is also explored.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-009-0361-9