摘要
在区间直觉模糊近似空间上,利用一对区间直觉模糊蕴涵算子(I,J),定义了蕴涵区间直觉模糊粗糙集的概念,并证明了相应的一些重要性质。刻画了区间直觉模糊关系的自反性,对称性和传递性。
By employing two interval-valued intuitionistic fuzzy implicators and , interval-valued intuitionistic fuzzy rough sets with implicators are first defined in the interval-valued intuitionistic fuzzy approximation space. Properties of interval-valued intuitionistic fuzzy rough sets with implicators are proved. Finally, the reflexivity, symmetry and transi- tivity of interval-valued intuitionistic fuzzy relations are characterized.
出处
《山东大学学报(理学版)》
CAS
CSCD
北大核心
2011年第8期104-109,共6页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(10971186)
福建省自然科学基金资助项目(2009J01016)
关键词
直觉模糊关系
模糊蕴涵算子
模糊粗糙集
区间
性质
模糊近似空间
自反性
传递性
interval-valued intuitionistic fuzzy approximation operators
interval-valued intuitionistic fuzzy sets
inter-val-valued intuitionistic fuzzy rough sets
interval-valued intuitionistic fuzzy relation
implicator