A new formal representation of granules based on features

In order to provide the unified representation of granules under Granular Computing, this paper studied the granules' basic meaning, descriptions and relationships between the features of granules, and described that the four elements of granules were closely related to granular features. Then the paper presented four-tuples formal representation on data levels based on granular features. The representation includes the object set, feature set, relationship sets and constraints set. Then the representations of several special granules were presented. They showed the unity and advantage of the representation. At last, this paper gave a specific example. By the example, the formal representation has important significance in methodology to solve the granular representation on data levels based on granular features well. And this method is conductive to solve problems and study of granular computing theory.