直觉模糊序信息系统下变精度与程度的“逻辑且”粗糙集  

Rough Set Based on “Conjunctive Logic” Operation of Variable Precision and Grade in Intuitionistic Fuzzy Ordered Information System

作　　者：胡猛[1] 李蒙蒙[1] 徐伟华[1] 

机构地区：[1]重庆理工大学理学院,重庆400054

出　　处：《计算机科学》2017年第5期206-210,225,共6页Computer Science

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

摘　　要：通过综合考虑集合中元素的隶属度、非隶属度和犹豫度,定义了直觉模糊信息系统的加权得分函数。基于此得分函数,定义了直觉模糊信息下的优势关系,运用"逻辑且"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"粗糙集模型,并研究了其相关性质。最后,通过实例分析进一步体现了该研究的意义,为序信息系统的知识表示提供了新的理论基础。In this paper, the weighted score function of intuitionistic fuzzy information system is defined by the compre- hensive consideration of the membership degree, non-membership degree and hesitation degree of the element with re- spect of the set. Based on the score function, the dominance relation of intuitionistic fuzzy information is defined. Varia- ble precision rough set and graded rough set are combined with ＂conjunctive logic＂ mode, and then the definition of the ＂conjunctive logic＂ rough set model is constructed and its properties are deeply explored. Finally, the analysis of practi- cal example further reflects the significance of this study, which provides a new theoretical foundation for knowledge representation in ordered information systems.

关 键 词：变精度粗糙集 程度粗糙集 逻辑且 直觉模糊序信息系统 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]