模糊粗糙集的格结构  

Lattice Structures of the Fuzzy Rough Sets

作　　者：刘晓纲[1] 

机构地区：[1]锦州师范学院数学系,辽宁锦州121000

出　　处：《河北师范大学学报（自然科学版）》2003年第3期248-250,共3页Journal of Hebei Normal University：Natural Science

基　　金：辽宁省教育厅攀登计划资助项目(20161049)

摘　　要：定义了模糊集合的上、下近似算子,讨论了其代数结构.证明了模糊粗糙集理论中全体可定义集合构成一个完全分配格,给出了生成这一完全分配格的元素的集合并讨论了其基本性质.Upper and lower fuzzy approximation operators are defined, and there algebraic structures are studied. It is proved that all defined sets in fuzzy rough sets theory construct a completely distribution lattice. The sets generated this completely distribution lattice are given,and there basic properties are also discussed .

关 键 词：模糊粗糙集 格结构 代数结构 完全分配格 上近似算子 下近似算子 

分 类 号：O159[理学—数学] O153.1[理学—基础数学]