Maintaining a good balance between convergence and diversity is crucial in many-objective optimization, while most existing dominance relations can not achieve a good balance between them. In this paper, we propose a new dominance relation to better balance the convergence and diversity. In the proposed dominance relation, a convergence indicator and a niching technique based adaptive parameter are adopted to ensure the convergence and diversity of the nondominated solution set. Based on the proposed dominance relation, a new many-objective evolutionary algorithm is proposed. In the algorithm, a new distribution estimation method is proposed to obtain better solutions for mating selection. Experimental results indicate that the proposed dominance relation outperforms existing dominance relations in balancing the convergence and diversity and the proposed algorithms has a competitive performance against several state-of-art many-objective evolutionary algorithms.

在多目标优化中，保持收敛和多样性之间的良好平衡至关重要，而大多数现有的优势关系无法在两者之间实现良好的平衡。在本文中，我们提出了一种新的主​​导关系，以更好地平衡收敛性和多样性。在提出的优势关系中，采用收敛指标和基于小生境技术的自适应参数来确保非优势解集的收敛性和多样性。基于所提出的优势关系，提出了一种新的多目标进化算法。该算法提出了一种新的分布估计方法，以获得更好的交配选择解决方案。