Journal of Northeastern University(Natural Science) ›› 2023, Vol. 44 ›› Issue (10): 1408-1415.DOI: 10.12068/j.issn.1005-3026.2023.10.006

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A Multi-modal Multi-objective Optimization Algorithm Based on Adaptive Search

LI Zhan-shan1,2, SONG Zhi-yang1, HUA Yun-qiao3   

  1. 1. School of Software, Jilin University, Changchun 130012, China; 2. School of Computer Science and Technology, Jilin University, Changchun 130012, China; 3. Asset Management Division, Jilin University, Changchun 130012, China.
  • Published:2023-10-27
  • Contact: HUA Yun-qiao
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Abstract: The current decomposition-based multi-modal multi-objective optimization algorithms have insufficient population search capability, useless solutions in sub-populations, and a non-universal distance metric. To address these issues, an adaptive search multi-modal multi-objective optimization algorithm MOEA/D-AS is proposed. Firstly, this method increases the number of reference vectors by reducing the size of the average sub-population. Secondly, the sub-populations are reallocated according to the current state of the sub-populations in the iteration. Finally, a clear distance based on local population information is introduced as the basis for modifying the sub-populations. The proposed algorithm is compared with four algorithms on the 2019 CEC multi-modal multi-objective test problems and the large-scale multi-modal multi-objective test problems for experiments. The experimental results show that the proposed algorithm can effectively solve the multi-modal multi-objective optimization problems.

Key words: multi-modal multi-objective optimization algorithm; adaptive search; sub-population; local information; clear distance

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