An Effective Ensemble Framework for Multi-Objective Optimization

Wenjun Wang, Shaoqiang Yang, Qiuzhen Lin (Corresponding Author), Qingfu Zhang, Ka Chun Wong, Carlos A.Coello Coello, Jianyong Chen

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28 Citations (Scopus)
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This paper proposes an effective ensemble framework for tackling multi-objective optimization problems, by combining the advantages of various evolutionary operators and selection criteria that are run on multiple populations. A simple ensemble algorithm is realized as a prototype to demonstrate our proposed framework. Two mechanisms, namely competition and cooperation, are employed to drive the running of the ensembles. Competition is designed by adaptively running different evolutionary operators on multiple populations. The operator that better fits the problem’s characteristics will receive more computational resources, being rewarded by a decomposition-based credit assignment strategy. Cooperation is achieved by a cooperative selection of the offspring generated by different populations. In this way, the promising offspring from one population have chances to migrate into the other populations to enhance their convergence or diversity. Moreover, the population update information is further exploited to build an evolutionary potentiality model, which is used to guide the evolutionary process. Our experimental results show the superior performance of our proposed ensemble algorithms in solving most cases of a set of thirty-one test problems, which corroborates the advantages of our ensemble framework.

Original languageEnglish
Article number8519635
Pages (from-to)645-659
Number of pages15
JournalIEEE Transactions on Evolutionary Computation
Issue number4
Early online date1 Nov 2018
Publication statusPublished - Aug 2019

Bibliographical note

This work was supported by the National Natural Science Foundation of China under Grants 61876110, 61876163, and 61836005, a grant from ANR/RGC Joint Research Scheme sponsored by the Research Grants Council of the Hong Kong Special Administrative Region, China and France National Research Agency (Project No. A-CityU101/16), the Joint Funds of the National Natural Science Foundation of China under Key Program Grant U1713212, and CONACyT grant no. 221551.


  • competitive evolution
  • cooperative selection.
  • ensemble framework
  • multi-objective optimization
  • multiobjective optimization
  • cooperative selection
  • Competitive evolution
  • ensemble framework (EF)


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