Combined model assisted evolutionary algorithm with complementary fill sampling criterion for expensive multi/many-objective optimization

In this paper, we design an algorithm to address the challenges of expensive multi-objective optimization problems by improving the surrogate model and sampling criterion. Firstly, we introduce a combined model which aims to enhance the impact of points that do not play a negative role, thus improving prediction accuracy. Subsequently, we develop two complementary indicators to accommodate various shapes of Pareto frontiers to better balance convergence and diversity in the sampling criterion. Experimental results on several benchmarks show that our proposed method is highly competitive in solving expensive multi-objective optimization problems compared to other state-of-the-art algorithms.