摘要
系统研究了一般等价关系下直觉模糊粗糙集模型,给出该模型多种定义形式,详细阐述了上下近似的性质,定义了直觉模糊粗糙集截集的概念,最后给出了该直觉模糊粗糙集模型的分解定理和表现定理,并证明定理的正确性。
The model of intuitionistic fuzzy rough sets under commonly equivalant relation is systemically investigated, and muhidefinition forms are given. The characters of upper and lower approximations arc particularly expatiated. The conception of intuitionistic fuzzy rough cut-sets is defined. Moreover, the decomposition theorem and representation theorem of intuitionistic fuzzy rough sets are given and proved.
出处
《微计算机信息》
2010年第6期204-205,208,共3页
Control & Automation
基金
基金申请人:雷英杰
项目名称:直觉模糊粗糙集理论研究
基金颁发部门:陕西省自然科学基金委(2006F18)
关键词
直觉模糊粗糙集
直觉模糊粗糙集截集
分解定理
Intuitionistic fuzzy rough sets
Intuitionistic fuzzy rough cut-sets
Decomposition theorem