Authors
Xinye Cai, Yushun Xiao, Miqing Li, Han Hu, Hisao Ishibuchi, Xiaoping Li
Publication date
2020/4/28
Journal
IEEE Transactions on Evolutionary Computation
Volume
25
Issue
1
Pages
21-34
Publisher
IEEE
Description
Assessing the performance of Pareto front (PF) approximations is a key issue in the field of evolutionary multi/many-objective optimization. Inverted generational distance (IGD) has been widely accepted as a performance indicator for evaluating the comprehensive quality for a PF approximation. However, IGD usually becomes infeasible when facing a real-world optimization problem as it needs to know the true PF a priori. In addition, the time complexity of IGD grows quadratically with the size of the solution/reference set. To address the aforementioned issues, a grid-based IGD (Grid-IGD) is proposed to estimate both convergence and diversity of PF approximations for multi/many-objective optimization. In Grid-IGD, a set of reference points is generated by estimating PFs of the problem in question, based on the representative nondominated solutions of all the approximations in a grid environment. To reduce the …
Total citations
20212022202320249172013
Scholar articles
X Cai, Y Xiao, M Li, H Hu, H Ishibuchi, X Li - IEEE Transactions on Evolutionary Computation, 2020