Duality between Merging Operators and Social Contraction Operators
Duality between Merging Operators and Social Contraction Operators
复制标题
合并算子和社会收缩算子之间的二元性
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
R. Pérez
中科院分区：
文献类型：
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作者：
José Luis Chacón;R. Pérez
在AGM（Alchourron-Gardenfors-Makinson）框架中，修正算子和压缩算子之间存在对偶性.这种二重性是由列维恒等式和哈珀恒等式给出的。前者允许从收缩运算符开始定义修订运算符。后者允许从修订操作符开始定义收缩操作符。在这项工作中，我们表明，这种对偶性可以扩展到合并运营商和社会收缩运营商之间的对偶性，通过一些身份的风格的列维和哈珀身份。
In the AGM (Alchourron-Gardenfors-Makinson) framework there exists a duality between revision operators and contraction operators. This duality is given by the Levi identity and the Harper identity. The former allows to define a revision operator starting from a contraction operator. The latter allows to define a contraction operator starting from a revision operator. In this work we show that this duality can be extended to a duality between merging operators and social contraction operators through some identities in the style of the Levi and Harper identities.