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

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