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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Soft Computingarrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Soft Computing
Article . 2021 . Peer-reviewed
License: Springer TDM
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A strengthened diversity indicator and reference vector-based evolutionary algorithm for many-objective optimization

Authors: Wenjing Sun; Junhua Li;

A strengthened diversity indicator and reference vector-based evolutionary algorithm for many-objective optimization

Abstract

As pointed out in recent studies, most evolutionary algorithms have shown their promise in dealing with many-objective optimization problems (MaOPs). However, the ability to balance convergence and diversity and the scalability of objectives are still far from perfect. To address these issues, this paper proposes a strengthened diversity indicator and reference vector-based evolutionary algorithm for many-objective optimization, termed SDIEA. In the proposed SDIEA, a new adaptive indicator is proposed, namely, strengthened diversity indicator (SDI). The proposed SDI is adopted to effectively emphasize the pressure of convergence and diversity in the many-objective space, by preserving the achievement scalarizing function (ASF) metric and considering angle information between individuals and reference vectors with the number of objectives and generations. Moreover, in order to further enhance the diversity management in global space, the reference vectors are used to guide population partition selection. Finally, the selected solutions based on SDI and reference vector are merged for the next generation. Experimental results show that the proposed SDIEA achieves competitive performance on MaF and WFG, compared with several state-of-the-art algorithms. Additionally, SDIEA obtains good performance on 20-objective test instances and still has the potential to strive for scalability of higher objectives.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
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