摘要
针对模糊信息系统 ,提出了用模糊相容关系代替经典粗糙集中的不可分辨关系来构造扩展粗糙集的方法 .定义了模糊信息系统中的模糊相容关系 ,给出了模糊相容关系下粗糙集的表示方法及性质 ,证明了模糊相容关系下粗糙集模型的不同表示形式 。
Considering the fuzzy information system, a method for construction of extended rough sets is proposed in which the indiscernibility relation in classical rough sets is replaced by the fuzzy compatibility relation in this paper. The fuzzy compatibility relation in the fuzzy information system is defined. The expression and the properties of rough sets based on fuzzy compatibility relation are given. The different expressions of rough sets in fuzzy compatibility relation are proven. In addition, the fuzzy variable precision rough sets and its properties based on fuzzy compatibility relation are discussed.
出处
《东南大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2003年第z1期21-23,共3页
Journal of Southeast University:Natural Science Edition
基金
国家自然科学基金重点资助项目 ( 60 2 3 40 10 )
航空科学基金资助项目 ( 0 2E5 2 0 2 5 )
关键词
粗糙集
模糊相容关系
模糊变精度粗糙集
rough sets
fuzzy compatibility relation
fuzzy variable precision rough sets