直觉模糊序信息系统下基于精度与程度逻辑运算的粗糙集  

The rough set model based on logical operator of variable precision and graded in intuitionistic fuzzy ordered information system

作　　者：胡猛[1] 徐伟华[1] 李蒙蒙[1] 郭艳婷[1] 

机构地区：[1]重庆理工大学理学院,重庆400054

出　　处：《模糊系统与数学》2017年第1期155-164,共10页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金(61472463;61402064);重庆市自然科学基金(cstc2015jcyjA1390);重庆理工大学研究生创新基金(YCX2015227;YCX2016227);重庆市研究生创新基金(CYS16217)的支持

摘　　要：本文基于直觉模糊信息系统提出加权得分函数,进而定义了优势关系,在此关系下运用"逻辑且"和"逻辑或"的方式将变精度粗糙集和程度粗糙集结合起来定义了"逻辑且"上近似和"逻辑或"下近似粗糙集模型,并论述了相关性质。最后,通过案例分析,进一步体现该模型的研究意义,为数据挖掘提供了理论基础。Based on the intuitionistic fuzzy information system, a weighted score function is proposed in this paper, and the dominance relation is defined. Based on the relation, the variable precision rough set and graded rough set are combined with the ＂logic or＂ and ＂logic and＂, the definition of the ＂logic and＂ upper approximation and the＂logic or＂ lower approximation is provided and the related properties are discussed. Finally, the introduction of an practical case further reflects the significance of the model, which provides a theoretical basis for data mining.

关 键 词：变精度粗糙集 程度粗糙集 逻辑或 逻辑且 直觉模糊序信息系统 

分 类 号：O159[理学—数学]