Abstract: This paper comprehensively combines the membership, non-membership and hesitancy degree of the elements of intuitionistic fuzzy set, and defines the square weighted score function in the intuitionistic fuzzy information system. Based on the score function, this paper constructs the dominance relation of intuitionistic fuzzy information system, furthermore, proposes the “logical difference” rough set model of variable precision and grade, and studies related properties of the model, which takes into account the “logic difference” combination of the variable precision and grade at the same time. Finally, the significance of the theory is embodied by a case of analysis, which provides a theoretical basis for the knowledge discovery of the intuitionistic fuzzy ordered information system.

Key words: variable precision rough set, graded rough set, logical difference, intuitionistic fuzzy ordered information system

摘要： 将直觉模糊集合中元素的隶属度、非隶属度和犹豫度充分地结合起来，在直觉模糊信息系统中定义了二次加权得分函数。基于此得分函数定义了直觉模糊信息系统中的优势关系，进一步地，通过“逻辑差”的方式将变精度粗糙集和程度粗糙集结合起来，提出了变精度与程度“逻辑差”粗糙集模型，并研究了其相关性质，发现“逻辑差”组合能够同时考虑变精度和程度的双重量化信息。最后，通过实例分析，进一步体现了研究意义，为直觉模糊序信息系统的知识发现提供了理论基础。

关键词: 变精度粗糙集, 程度粗糙集, 逻辑差, 直觉模糊序信息系统