Abstract: In order to deal with incomplete information system with noise data, ambiguity and other information, the thought and method of the set pair theory and variable precision rough set is used to construct a novel variable precision rough set model. To begin with, the advantages and limitations of these models previously established based on the set pair similarity relationship are compared, and then the set pair homeopathic similar relationship based on the threshold [α]connection degree is defined, and then it is used to substitute the equivalence relationship of the variable precision rough set, so that a novel variable precision rough set model based on the set pair homeopathic similar relationship is established, and its properties are researched. Finally an example is used to verify the feasibility and effectiveness of the novel model.

Key words: incomplete information system, set pair analysis, set pair homeopathic similar relationship, variable precision rough set, equivalence relationship

摘要： 为了能有效处理含有含噪音数据、模糊性的不完备信息系统，利用集对分析与粗糙集的思想与方法，在比较几种集对相似关系的优势与劣势的基础上，提出了一种基于阀值[α]联系度系数的集对顺势相似关系，并将其代替变精度粗糙集的不可区分关系，构建了一种基于集对顺势相似关系的变精度粗糙集模型，探讨其性质。通过实例验证了所构建模型的合理性与有效性。

关键词: 不完备信息系统, 集对分析, 集对顺势相似关系, 变精度粗糙集, 等价关系