中文摘要：

非空有限集合A的完全覆盖S={A1,A2,…,An}决定了A上的相容关系R=∪ni=1（Ai×Ai）.研究了R的最大相容类集合和完全覆盖S之间的关系,给出相容的完全覆盖、极大相容完全覆盖、极小相容完全覆盖和恰当完全覆盖的定义,证明了相容的完全覆盖其成员均为R的最大相容类,而极大相容完全覆盖恰为R的最大相容类的全体,并给出这几种完全覆盖之间的关系.

英文摘要：

The complete cover S={A1,A2,…,An} of a finite set A decides the compatibility relation R=∪ni=1（Ai×Ai） on the set A.This paper is designed to research the relationship between all the maximal compatibility classes decided by R and the complete cover.So the definition of a compatible complete cover,a maximal compatible complete cover,a minimal compatible complete cover,and an appropriate complete cover are given in the paper.It proves that every element of the compatible complete cover is the maximal compatibility class and the maximal compatible complete cover is just all the maximal compatibility classes decided by R,and analyses the relations of complete covers of these different classes.