In this paper, we introduced the basic knowledge of set pair analysis at the first place. Then we defined the general form of basic operations and the properties of connection number, in the end we give the corresponding application examples. The concepts and methods of the operations are the basis points of this paper. The ccomposition operation that put forward in this article makes the results that we need more realistic and it more detailed and more reasonable when describe a problem.The operations also broaden the application scope of connection number and enrich the connection number theory of set pair analysis. The mathematical meaning is clear and the method is simple of this operation, it is easy to learn and use .This research also provides the computational basis for the next studies, it has a certain theoretical and practical significance.