Compared to the existing definition of cover’s reduction, reducible element, removable element is redefined and a cover which is more terse than reduced covering is got. Furthermore, the relationship among union-reduced covering, summary covering and minimum description covering is discussed. And it is found that union-reduced covering is the same as summary covering, and summary covering is included in union-reduced covering. At last, the relationship between the operators of summary covering and union-reducible covering is discussed.%对比现有的覆盖的约简、可约基本集的定义,重新定义了可去基本集和简易覆盖,得到了一个比约简覆盖更简练的简易覆盖。进而,又讨论了简易覆盖与约简覆盖、极小描述覆盖三者之间的关系。得出并-约简覆盖和极小描述覆盖相等,而简易覆盖包含于并-约简覆盖之中,是一个更简练的覆盖这一结论。最后,又讨论了在简易覆盖与并-约简覆盖下,算子之间的关系。
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