基于蕴涵的区间值直觉模糊粗糙集  

Interval-valued intuitionistic fuzzy rough sets based on implicators

作　　者：张植明[1] 田景峰[2] 

机构地区：[1]河北大学数学与计算机学院,河北保定071002 [2]华北电力大学科技学院,河北保定071051

出　　处：《控制与决策》2010年第4期614-618,共5页Control and Decision

基　　金：国家自然科学基金项目(60773062);教育部科学技术研究重点项目(206012);河北省自然科学基金项目(2008000633);河北省教育厅科研计划重点项目(2005001D)

摘　　要：提出一种基于区间值直觉模糊蕴涵的区间值直觉模糊粗糙集模型.首先,介绍了区间值直觉模糊集、区间值直觉模糊关系和区间值直觉模糊逻辑算子的概念;然后,利用区间值直觉模糊三角模和区间值直觉模糊蕴涵,在区间值直觉模糊近似空间中定义了区间值直觉模糊集的上近似和下近似;最后,给出并证明了这些近似算子的一些性质.A kind of interval-valued intuitionistic fuzzy rough set model based on an interval-valued intuitionistic fuzzy implicator is proposed.Firstly,the concepts of an interval-valued intuitionistic fuzzy set,an interval-valued intuitionistic fuzzy relation and interval-valued intuitionistic fuzzy logical operators are introduced.Then,by employing an interval-valued intuitionistic fuzzy triangle norm and an interval-valued intuitionistic fuzzy implicator,upper approximations and lower approximations of interval-valued intuitionistic fuzzy sets with respect to an interval-valued intuitionistic fuzzy approximation space are defined.Finally,basic properties of these interval-valued intuitionistic fuzzy rough approximation operators are examined.

关 键 词：粗糙集 区间值直觉模糊集 区间值直觉模糊逻辑算子 区间值直觉模糊粗糙集 

分 类 号：TP181[自动化与计算机技术—控制理论与控制工程]