Judgment aggregation rules based on minimization
Judgment aggregation rules based on minimization
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基于最小化的判断聚合规则
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Leendert van der Torre
中科院分区：
文献类型：
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作者：
J. Lang;G. Pigozzi;M. Slavkovik;Leendert van der Torre
许多投票规则都是基于某种最小化原则。同样，在基于逻辑的知识表示和推理领域，许多信念改变或不一致处理算子也使用最小化。令人惊讶的是，最小化并没有发挥重要作用，在判断聚集领域，尽管它接近投票理论和基于逻辑的知识表示和推理。在这里，我们在这个方向上迈出了一步，并研究了六个判断聚合规则;其中两个，基于距离，以前已经定义;其他四个是新的，和所有的启发都由投票理论和知识表示和推理。我们研究这些规则之间的包含关系，并解决他们的一些社会选择理论的属性。
Many voting rules are based on some minimization principle. Likewise, in the field of logic-based knowledge representation and reasoning, many belief change or inconsistency handling operators also make use of minimization. Surprisingly, minimization has not played a major role in the field of judgment aggregation, in spite of its proximity to voting theory and logic-based knowledge representation and reasoning. Here we make a step in this direction and study six judgment aggregation rules; two of them, based on distances, have been previously defined; the other four are new, and all inspired both by voting theory and knowledge representation and reasoning. We study the inclusion relationships between these rules and address some of their social choice theoretic properties.