An evolutionary algorithm based on independently evolving sub-problems for multimodal multi-objective optimization

dc.cclicenceCC-BY-NC-NDen
dc.contributor.authorZhang, Jialiang
dc.contributor.authorZou, Juan
dc.contributor.authorYang, Shengxiang
dc.contributor.authorZheng, Jinhua
dc.date.acceptance2022-10-21
dc.date.accessioned2022-11-29T15:31:20Z
dc.date.available2022-11-29T15:31:20Z
dc.date.issued2022-11-09
dc.descriptionThe file attached to this record is the author's final peer reviewed version. The Publisher's final version can be found by following the DOI link.en
dc.description.abstractMultimodal multi-objective problems (MMOPs) arise frequently in the real world, in which multiple Pareto optimal solution (PS) sets correspond to the same objective set. Traditional multi-objective evolutionary algorithms (MOEAs) show poor performance in solving MMOPs due to a lack of diversity maintenance in the decision space. Thus, recently, many multimodal multi-objective evolutionary algorithms (MMEAs) have been proposed. However, for most existing MMEAs, they generally have an over-convergence phenomenon, leading to the deterioration of the diversity of the decision space. To address these issues, this paper proposes a MMEAs based on independently evolving sub-problems. The sub-problem independent evolution method fits the definition of MMOPs because sub-problems form meaningful niches when they converge gradually, ensuring the convergence of the objective space, and enhancing the diversity of the decision space. In the environmental selection phase, we propose a two-stage environmental selection strategy that can guarantee both the convergence of the objective space and the distribution of the decision space. Finally, we refer to the k-nearest neighbor deletion strategy in the decision space to guarantee the distributivity of each equivalent PS. The experimental results show that our algorithm has higher competitive performance than seven other state-of-the-art MMEAs on two series of test functions.en
dc.funderOther external funder (please detail below)en
dc.funder.otherNational Natural Science Foundation of Chinaen
dc.identifier.citationZhang, J., Zou, J., Yang, S. and Zheng, J. (2023) An evolutionary algorithm based on independently evolving sub-problems for multimodal multi-objective optimization. Information Sciences, 619, pp. 908-929en
dc.identifier.doihttps://doi.org/10.1016/j.ins.2022.10.096
dc.identifier.urihttps://hdl.handle.net/2086/22338
dc.language.isoen_USen
dc.peerreviewedYesen
dc.projectid62176228, 61876164en
dc.publisherElsevieren
dc.researchinstituteInstitute of Artificial Intelligence (IAI)en
dc.subjectDecompositionen
dc.subjectK-nearest neighbor deletion strategyen
dc.subjectMultimodal multi-objective optimizationen
dc.subjectSub-problemen
dc.subjectTwo-stage environmental selection strategyen
dc.titleAn evolutionary algorithm based on independently evolving sub-problems for multimodal multi-objective optimizationen
dc.typeArticleen

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