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Cited by 380

The DOI matches its Crossref record; 53 of the 53 references it cites were found in a registry or an index.

A Survey on the Hypervolume Indicator in Evolutionary Multiobjective Optimization

Shang, Ke, Ishibuchi, Hisao, He, Linjun, Pang, Lie Meng·2021·IEEE Transactions on Evolutionary Computation

Abstract

Hypervolume is widely used as a performance indicator in the field of evolutionary multiobjective optimization (EMO). It is used not only for performance evaluation of EMO algorithms (EMOAs) but also in indicator-based EMOAs to guide the search. Since its initial proposal in the late 1990s, a wide variety of studies have been done on various topics, including hypervolume calculation, optimal μ-distribution, subset selection, hypervolume-based EMOAs, and extensions of the hypervolume indicator. However, currently there is no work to systematically survey the hypervolume indicator for these topics whereas it has been frequently used in the EMO field. This article aims to fill this gap and provide a comprehensive survey on the hypervolume indicator. We expect that this survey will help EMO researchers to understand the hypervolume indicator more deeply and thoroughly, and promote further utilization of the hypervolume indicator in the EMO field.

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Metadata

Authors
Shang, K., Ishibuchi, H., He, L., & Pang, L. M.
Venue
IEEE Transactions on Evolutionary Computation
Published
2021-02
Volume
25
Issue
1
Pages
1-20
ISSN
  • 1089-778X (ISSN-L)
  • 1941-0026
OpenAlex
W3046910774
Cited by
380
References
53
FWCI
17.15
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: A Survey on the Hypervolume Indicator in Evolutionary Multiobjective Optimization. https://app.cochat.ai/papers/10.1109/tevc.2020.3013290
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Shang, K., Ishibuchi, H., He, L., & Pang, L. M. (2021). A Survey on the Hypervolume Indicator in Evolutionary Multiobjective Optimization. IEEE Transactions on Evolutionary Computation. https://doi.org/10.1109/tevc.2020.3013290

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