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传递关系

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逻辑学数学中,传递关系(英语:Transitive relation)、即,若对所有的abc属于X,下述语句保持有效,则集合X上的二元关系R传递的:“若a关系到bb关系到c,则 a关系到c。”

特性

数学上表示为:

例如:大于等于具有传递关系:若

传递关系举例:

满足自反性的传递关系称为预序关系。满足反对称性的预序关系称为偏序关系。满足对称性的预序关系称为等价关系

参考文献

  • Discrete and Combinatorial Mathematics - Fifth Edition - by Ralph P. Grimaldi ISBN 0-201-19912-2

外部链接

参见

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传递关系
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