粗集理论中的容错关系及其构造方法

粗集理论（Rough Sets Theory，RST）在许多领域已得到成功的应用，它在处理不完全、不精确、不确定性智能信息问题中表现出优秀品质。然而在标准RST理论中存在有局限性，比如对等价关系的定义使得知识约简相对复杂化。论文提出了基于RST的容错粗集的概念，给出了容错粗集上的性质，使得在进行知识约简时无需进行量化。从而大大提高了知识发现的效率。

Tolerance Relation and Construction Methods Based on Rough Sets Theory

： Rough Sets Theory has been developed in many application fields，which is used to successfully disposed such questions as uncertainty，fragmentary data，imprecise problem and processed for intelligent information．However there are some limits in normal rough set theory．For instance，the equivalence relation is defined by the equal relation，which results in the complexity of the knowledge reduction．The paper proposes the concept of tolerance relation and relative properties．Tolerance relation reduces the qualitative process，which must be done during the knowledge reduction．Hence knowledge reduction becomes much easier than that in the past．The idea is used the knowledge reduction based on tolerance relation，which increases the efficiency the knowledge discovery．