Meta-level multi-objective formulations of set optimization for multi-objective optimization problems: multi-reference point approach to hypervolume maximization
Meta-level multi-objective formulations of set optimization for multi-objective optimization problems: multi-reference point approach to hypervolume maximization
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DOI：
10.1145/2598394.2598484
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发表时间：
2014-07
期刊：
影响因子：
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通讯作者：
H. Ishibuchi;Hiroyuki Masuda;Y. Nojima
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文献类型：
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作者：
H. Ishibuchi;Hiroyuki Masuda;Y. Nojima
在基于指标的进化算法(IBEAS)中，超体积经常被用作评价解集合的指标。在这种IBEA中，一个重要的问题是参考点的选择。由于超体积计算依赖于参考点的位置，因此通常从不同的参考点获得不同的解集。在本文中，我们提出了一种利用这种依赖关系来描述元水平多目标集优化问题的思想。不同参考点的超级体积最大化被用作不同的目标。
Hypervolume has been frequently used as an indicator to evaluate a solution set in indicator-based evolutionary algorithms (IBEAs). One important issue in such an IBEA is the choice of a reference point. A different solution set is often obtained from a different reference point since the hypervolume calculation depends on the location of the reference point. In this paper, we propose an idea of utilizing this dependency to formulate a meta-level multi-objective set optimization problem. Hypervolume maximization for a different reference point is used as a different objective.