基于关系矩阵中等价关系的判定

The Determination of Equivalent Relation based on Relation Matrix

设R是集合A上的二元关系,要判定R在A上是否是等价关系,一般来讲,只能从定义出发,当R包含的序偶较多时,从定义出发又比较难于判定。为此,从关系矩阵出发,给出一种判定方法,并讨论等价关系的矩阵性质。

Generally speaking the definition is where we start to judge if R is the equivalence ration on A, that R is the binary relation of the geometrical A. However when R includes comparatively more ordered pairs, it is hard to make a judgment from the definition. The paper is to provide one way of judgment based on relation matrix and further discuss the matrix properties of the equivalence relation.