吉林大学学报(工学版) ›› 2013, Vol. 43 ›› Issue (06): 1658-1665.doi: 10.7964/jdxbgxb201306036

• paper • Previous Articles     Next Articles

High dimension multi-objective visualization based on single objective fitting

BI Xiao-jun, LI Bo   

  1. College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China
  • Received:2012-07-22 Online:2013-11-01 Published:2013-11-01

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Abstract:

Current visualization techniques failed to effectively display the high dimension multi-objective optimization problems. To overcome this disadvantage, a new sub-diagram visualization technology based on single objective fitting is proposed. The new visualization technology displays the Pareto solution set in sub-diagram form whose number is the same as objectives. Additionally, the Pareto approximate set is drawn by the fitting location in the sub-diagram. The proposed method displays effectively the convergence and distribution of the Pareto approximate set;meanwhile, the relative merits of the performance on a single solution in each dimension objective and the comparison of the performance of different solutions in the same objective are displayed effectively. Numerical experiments show that the new visualization technique plays a key role in helping decision-makers carry on analysis and decision for multi-objective optimization problems.

Key words: computer application, visualization technology of high dimension multi-objective, sub-diagram visualization technology, single objective fitting, the Pareto front

CLC Number: 

  • TP391

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