粗糙线性空间(英文)  

Rough Linear Space

作　　者：刘文军[1] 

机构地区：[1]长沙理工大学,湖南长沙410076

出　　处：《模糊系统与数学》2007年第4期137-143,共7页Fuzzy Systems and Mathematics

基　　金：Supported by National Natural Science Foundation of China(70501006);Natural Science Foundation of Hunan Province(06JJ50149);A project supported by Scientific Research Fund of Hunan Provincial Education Department(06C097)

摘　　要：将粗糙集思想引入到线性空间。提出线性空间中子集的上近似和下近似的概念,给出上、下粗线性子空间与上、下粗不变子空间的概念,讨论粗糙集线性空间的有关性质。In this paper, we introduce rough sets into linear space. First, we put forward the concepts of upper and lower approximations of a subset in a linear space. Then, we give the definitions of upper and lower rough linear subspaces and upper and lower rough A- subspaces of a linear space. At last, we study their properties and give a series of meaningful results.

关 键 词：粗糙集 上粗线性子空间 下粗线性子空间 

分 类 号：O151[理学—数学]