等价关系的判定及性质  

Diagnosis and Nature of the Equivalence Relation

作　　者：石瑞平[1] 张素芬[2] 

机构地区：[1]石家庄信息工程职业学院市场营销系,河北石家庄050000 [2]石家庄信息工程职业学院计算机应用系,河北石家庄050000

出　　处：《数学的实践与认识》2011年第14期230-233,共4页Mathematics in Practice and Theory

摘　　要：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.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.Suppose R has the binary relation with the set A, and to judge whether R has the equivalent relationship with A, in general we can decide it by definition. However, it will be difficult for this method to work if R contains lots of ordered pairs. In this paper, a diagnosis method based on relational matrix is given, and the matrix nature of equivalence relaiton is discussed.

关 键 词：二元关系 等价关系 关系矩阵 

分 类 号：O158[理学—数学]