Rough Modules and their Some Properties

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