S-rough sets and its applications in diagnosis-recognition for disease

The paper presents the concepts of the elementary transfer, S-set (Singular set) on the universe of discourse U; using the two concepts, and presents S-rough set (Singular rough set), and gives its mathematical structures and characteristics. The paper also presents the applied background of S-rough set existence and applied examples in diagnosis-recognition for the diseases. The research given by the paper shows: S-rough set and rough set are two kinds of different rough sets, and they have different applied fields and mathematical characteristics. S-rough set is a new theory to analyze the rough characteristic of the system.