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Fusion of Many-Objective Non-dominated Solutions Using Reference Points

机译:使用参考点融合多目标非支配解决方案

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With recent advancements of multi- or many-objective optimization algorithms, researchers and decision-makers are increasingly faced with the dilemma of choosing the best algorithm to solve their problems. In this paper, we propose a simple hybridization of population-based multi- or many-objective optimization algorithms called fusion of non-dominated fronts using reference points (FNER) to gain combined benefits of several algorithms. FNFR combines solutions from multiple optimization algorithms during or after several runs and extracts well-distributed solutions from a large set of non-dominated solutions using predefined structured reference points or user-defined reference points. The proposed FNFR is applied to non-dominated solutions obtained by the Generalized Differential Evolution Generation 3 (GDE3), Speed-constrained Multi-objective Particle Swarm Optimization (SMPSO), and the Strength Pareto Evolutionary Algorithm 2 (SPEA2) on seven unconstrained many-objective test problems with three to ten objectives. Experimental results show FNFR is an effective way for combining and extracting (fusion) of well-distributed non-dominated solutions among a large set of solutions. In fact, the proposed method is a solution-level hybridization approach. FNFR showed promising results when selecting well-distributed solutions around a specific region of interest.
机译:随着多目标或多目标优化算法的最新发展,研究人员和决策者越来越面临选择最佳算法来解决其问题的难题。在本文中,我们提出了一种基于种群的多目标或多目标优化算法的简单混合方法,该算法称为使用参考点(FNER)的非优势前沿融合,以获得多种算法的综合优势。 FNFR在几次运行期间或之后组合来自多种优化算法的解决方案,并使用预定义的结构化参考点或用户定义的参考点从大量非支配的解决方案中提取分布良好的解决方案。拟议的FNFR应用于非差分解,该解由广义差分演化生成3(GDE3),速度受限的多目标粒子群优化算法(SMPSO)和强度帕累托进化算法2(SPEA2)在七个不受约束的多目标系统上获得。具有三到十个目标的客观测试问题。实验结果表明,FNFR是在大量解决方案中组合和提取(融合)分布良好的非支配解决方案的有效方法。实际上,所提出的方法是解决方案级别的杂交方法。当在特定的感兴趣区域周围选择分布良好的解决方案时,FNFR显示出令人鼓舞的结果。

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