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Self-organizing maps for multi-objective pareto frontiers

机译:多目标Pareto边界的自组织映射

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Decision makers often need to take into account multiple conflicting objectives when selecting a solution for their problem. This can result in a potentially large number of candidate solutions to be considered. Visualizing a Pareto Frontier, the optimal set of solutions to a multi-objective problem, is considered a difficult task when the problem at hand spans more than three objective functions. We introduce a novel visual-interactive approach to facilitate coping with multi-objective problems. We propose a characterization of the Pareto Frontier data and the tasks decision makers face as they reach their decisions. Following a comprehensive analysis of the design alternatives, we show how a semantically-enhanced Self-Organizing Map, can be utilized to meet the identified tasks. We argue that our newly proposed design provides both consistent orientation of the 2D mapping as well as an appropriate visual representation of individual solutions. We then demonstrate its applicability with two real-world multi-objective case studies. We conclude with a preliminary empirical evaluation and a qualitative usefulness assessment.
机译:决策者在选择解决方案时通常需要考虑多个相互矛盾的目标。这可能会导致潜在的大量候选解决方案被考虑。当手头的问题跨越三个以上的目标函数时,可视化帕累托边界(一种解决多目标问题的最佳解决方案)被认为是一项艰巨的任务。我们介绍一种新颖的视觉交互方法,以帮助应对多目标问题。我们提出了Pareto Frontier数据的特征,以及决策者在做出决策时面临的任务。在对设计方案进行了全面分析之后,我们展示了如何利用语义增强的自组织图来满足所确定的任务。我们认为,我们新提出的设计既提供了2D映射的一致方向,又提供了各个解决方案的适当视觉表示。然后,我们通过两个实际的多目标案例研究证明其适用性。我们以初步的经验评估和定性的有用性评估结束。

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