摘要
将直觉模糊包含度引入粗糙集与直觉模糊集的融合建模。首先,介绍直觉模糊集在特殊格L上的定义;其次,将模糊包含度拓展到直觉模糊环境下,提出取值于特殊格L的直觉模糊包含度定义和计算公式;在此基础上,分别利用直觉模糊包含度的隶属度与非隶属度定义了上下近似算子,建立了直觉模糊相似关系下的直觉模糊粗糙集模型,并对近似算子的重要性质进行了证明。
Intuitionistic fuzzy inclusion degree was introduced to modele the fusion of intuitionistic fuzzy set and rough set. Firstly, the definition of intuitionistic fuzzy set on a special lattice L was introduced. Secondly, a new definition and formulas of intuitionistic fuzzy inclusion degree with a value in a special lattice L were proposed. And then, the membership degree and non-membership degree of Intuitionistic fuzzy inclusion degree were used to define the lower and upper approximation respectively. The model of intuitionistic fuzzy rough sets was constructed and the properties of proposed model were classified and examined respectively.
出处
《计算机应用》
CSCD
北大核心
2008年第8期1997-1999,2020,共4页
journal of Computer Applications
基金
国家自然科学基金资助项目(60773209)
陕西省自然科学基金资助项目(2006F18)
关键词
粗糙集
模糊集
直觉模糊集
包含度
rough set
fuzzy set
Intuitionistic Fuzzy Set （IFS）
inclusion degree
