SPAM: Set Preference Algorithm for Multiobjective Optimization

SPAM: Set Preference Algorithm for Multiobjective Optimization
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DOI:
10.1007/978-3-540-87700-4_84
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发表时间:
2008-09
期刊:
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影响因子:
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通讯作者:
E. Zitzler;L. Thiele;J. Bader
E. Zitzler;L. Thiele;J. Bader
中科院分区:
其他
文献类型:
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作者:
E. Zitzler;L. Thiele;J. Bader

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本文追求的是通用多目标优化器的思想,它可以灵活地适应任意用户偏好——假设目标是逼近帕累托最优集。它提出了多目标优化(SPAM)的集合偏好算法,其工作原理基于两个观察:(i)当前的多目标进化算法(MOEA)可以被视为集合问题上的登山者,(ii)特定的用户偏好通常(隐式)以帕累托集合近似上的二元关系来表达。 SPAM 在 Pareto 集合近似空间上实现 (1 + 1) 策略,并且可以与任何类型的集合偏好关系一起使用,即定义 Pareto 集合近似上的总先序的二元关系。实验结果表明,对于一系列设定的偏好关系,SPAM 为用户偏好提供了充分的灵活性,并且可以根据指定的偏好进行有效的优化。因此,它为偏好引导的多目标搜索提供了新的视角。
This paper pursues the idea of a general multiobjective optimizer that can be flexibly adapted to arbitrary user preferences—assuming that the goal is to approximate the Pareto-optimal set. It proposes the Set Preference Algorithm for Multiobjective Optimization (SPAM) the working principle of which is based on two observations: (i) current multiobjective evolutionary algorithms (MOEAs) can be regarded as hill climbers on set problems and (ii) specific user preferences are often (implicitly) expressed in terms of a binary relation on Pareto set approximations. SPAM realizes a (1 + 1)-strategy on the space of Pareto set approximations and can be used with any type of set preference relations, i.e., binary relations that define a total preorder on Pareto set approximations. The experimental results demonstrate for a range of set preference relations that SPAM provides full flexibility with respect to user preferences and is effective in optimizing according to the specified preferences. It thereby offers a new perspective on preference-guided multiobjective search.