Title :
Rough Modules and their Some Properties
Author :
Zhang, Qun-Feng ; Fu, Ai-min ; Zhao, Shi-Xin
Author_Institution :
Fac. of Math. & Comput. Sci., Hebei Univ., Baoding
Abstract :
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
Keywords :
group theory; rough set theory; abstract algebra; approximate space; information system; rough group theory; rough module; rough ring; rough set theory; Abstract algebra; Computer science; Cybernetics; Information systems; Machine learning; Mathematics; Physics; Rail transportation; Rough sets; Set theory; Approximation space; homomorphism; isomorphism; rough group; rough module; rough ring; rough set;
Conference_Titel :
Machine Learning and Cybernetics, 2006 International Conference on
Conference_Location :
Dalian, China
Print_ISBN :
1-4244-0061-9
DOI :
10.1109/ICMLC.2006.258675
