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中文摘要：
给出了关于传统粗糙集的基本概念以及不完备信息系统的定义,归纳了信息系统中的空值情形.基于粗糙集的不可识别关系,介绍了几种已有的扩展关系：相容关系、非对称相似关系、量化相容关系和限制相容关系.结合量化和限制相容关系特点,文中提出了限制量化相容关系,并证明在特定条件下,限制量化相容关系是限制相容关系的改进.限制量化相容关系通过量化计算对相容关系作了进一步限制,使之更加合理实用.
英文摘要：
The basic notions on classical rough set theory and definitions of incomplete information system are given and cases of blank values in information system are summed up. Based on indiscernibility relation in rough set, several known relations ex- tended are introduced, such as tolerance relation, non-symmetry similar relation, valued tolerance relation and limited tolerance relation. Combining the characteristic of valued tolerance relation with of limited tolerance relation, this paper presents limited-valued tolerance relation. The paper proves that limited-valued tolerance relation is improvement of limited tolerance relation given special condition. The relation further limits the tolerance relation through valued calculation to make it more rational and practical.
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