ROUGH MODULES AND THEIR SOME PROPERTIES

摘要：

The theory of rough set is of great advantages in dealing with the ambiguity in information systems. Combining it with abstract algebra is a way generalizing it. Some papers proposed the concepts of rough groups and rough rings in approximate spaces, and investigated their properties. In this paper, firstly we introduce the concepts of rough module,rough sub-module, rough quotient module in approximate spaces. Then we give some properties of them, and prove the fundamental theorem of homomorphism for rough modules.

关键词： Approximation space rough set rough group rough ring rough module homomorphism isomorphism

作者: QUN-FENG ZHANG AI-MIN FU SHI-XIN ZHAO

作者单位: Faculty of Mathematics and Computer Science, Hebei University, Baoding, China, 071002 Department of Mathematics and Physics, Shijiazhuang Railway Institute, Shijiazhuang,China

会议类型: 国际会议

会议名称: 2006 International Conference on Machine Learning and Cybernetics(IEEE第五届机器学习与控制论坛)

会议地点: 大连

会议语种:英文

页码: 2290-2293

在线出版日期: 2006-08-13（万方平台首次上网日期，不代表论文的发表时间）