Abstract: With the development of cloud computing applications, the computer cluster becomes more and more important, but the computer performance in cluster is so different. Even though they can connect and can share their resources each other, but when the computer performance is not balance and the cluster performance is not to match with the parallcl tasks, it can cause the low efficiency for parallel task. So, it is an important problem how to partition and management computer cluster. The paper gave a way to solve it. Using the fuzzy clustering method according to the computer resources in computer cluster and through the vector of resource demand and the vector of lowest inaccuracy tolerance,we can divide the computer cluster into several classes(logical computer cluster) and make the every computer performance in one class to be more similar. It makes the computer cluster management to become easier. We partition the computers in lab into network gateway cluster, data base cluster, and service cluster for the Internet of thing cloud using this model.This model is fit for the cloud computing applications.

Key words: Cloud computing,Computer cluster,Resource,Fuzzy clustering