Angle-Based Dual-Association Evolutionary Algorithm for Many-Objective Optimization

Xinzi Wang, Huimin Wang, Zhen Tian, Wenxiao Wang () and Junming Chen ()
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Xinzi Wang: Faculty of Humanities and Arts, Macau University of Science and Technology, Macao 999078, China
Huimin Wang: Management School, The University of Sheffield, Sheffield S10 2TG, UK
Zhen Tian: James Watt School of Engineering, University of Glasgow, Glasgow G12 8QQ, UK
Wenxiao Wang: Faculty of Humanities and Arts, Macau University of Science and Technology, Macao 999078, China
Junming Chen: Faculty of Humanities and Arts, Macau University of Science and Technology, Macao 999078, China

Mathematics, 2025, vol. 13, issue 11, 1-21

Abstract: As the number of objectives increases, the comprehensive processing performance of multi-objective optimization problems significantly declines. To address this challenge, this paper proposes an Angle-based dual-association Evolutionary Algorithm for Many-Objective Optimization (MOEA-AD). The algorithm enhances the exploration capability of unknown regions by associating empty subspaces with the solutions of the highest fitness through an angle-based bi-association strategy. Additionally, a novel quality assessment scheme is designed to evaluate the convergence and diversity of solutions, introducing dynamic penalty coefficients to balance the relationship between the two. Adaptive hierarchical sorting of solutions is performed based on the global diversity distribution to ensure the selection of optimal solutions. The performance of MOEA-AD is validated on several classic benchmark problems (with up to 20 objectives) and compared with five state-of-the-art multi-objective evolutionary algorithms. Experimental results demonstrate that the algorithm exhibits significant advantages in both convergence and diversity.

Keywords: multi-objective optimization; angle; dual-association; evolutionary algorithm; hierarchical (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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