Rough集与Vague集的对比研究

Rough集和Vague集都是处理不确定、不完备、不准确信息的强大工具。Rough集研究主要针对于对象之间不可分辨的性质，Vague集研究主要针对对象边界的模糊程度。经过分析代数观的Rough集理论和信息观的Rough集理论与Vague集之间的关系，发现信息观的Rough集可以认为是一种特殊的Vague集；而代数观的Rough集与Vague集则是相互独立的，但是两者也有联系。在这2种理论下，信息的不确定性都是由元素部分属于集合而表现出来的，但是这2种理论对不精确信息的处理方法则不同。

Rough set and vague set: a comparative study

Both the rough set and vague set are strong tools that handle the indeterminate, incomplete, and inaccurate information. The rough set is mainly to study the property of the object that can't distinguish; the vague set study mainly focuses on the illegibility degree of the object boundary. This article mainly analyzes the relation between rough set and vague set from the algebra view and information view. The authors find that the rough set of information view is a kind of special vague set and the rough set of algebra view is mutually independent of vague set. Under these two kinds of theories, the indetermination of the information are all expressed out by the element that partly belongs to the set, but the processing methods of two kinds of theories to inaccurate information are different.