Communicating between information systems based on including degrees

Abstract

Communication between information systems is a basic problem in granular computing. In current research, a homomorphism mapping between information systems is required. In this paper, the concept of the general relation mapping between two universes is proposed in order to construct the equivalence relation on one universe according to the given equivalence relation on the other universe based on the including degrees. The main properties of the mapping are studied, and it is proved that attribute reductions in the original system and image system are equivalent to each other under the given conditions. Finally, we also define the concept of fuzzy general relation mapping between two fuzzy information systems and give some properties.

Keywords:

• rough set
• information systems
• including degrees
• equivalence relations

Acknowledgements

The authors would like to thank the referees for providing very helpful comments and suggestions. I also appreciate the help of Professor David Clements on the linguistic quality. This work is supported by the Natural Scientific Fund of China (10771171) and the Natural Scientific Fund of Gansu Province of China (0803RJZA108).