Algebraic method for granular computing

The ideas and principles of granular computing, i.e., problem solving with different granularities, have been studied in many fields. Granular computing is becoming an intriguing research direction for more and more researchers all over the world. For the further improvement of granular computing, it seems that we researchers need to do more researches in the theoretical part of granular computing. We try to do some basic research on granular computing by algebraic method.