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

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