中文摘要：

二元关系的传递性有时不好判断,通过对二元关系传递性定义的深入分析,给出了传递性判断的等价定义及定理,利用该等价定义及定理可以较快地实现二元关系传递性的判定。

英文摘要：

The transmission of a binary relation is difficult to decide.Based on thorough analysis of the transmission of a binary relation,an equivalence definition and theorem are given.With the equivalence definition and theorem,we can easily decide the transmission of a binary relation.