This paper proposes a centralized clustering algorithm (CA-MWSN) for selecting cluster heads in mobile wireless sensor networks. The base station first performs dynamic clustering based on sensor location updates. It then runs CA-MWSN, which uses fuzzy logic to calculate each node's "chance" of being elected cluster head based on residual energy, expected residual energy, and mobility. The node with the highest chance is selected as the cluster head for that round. Dynamic clustering and CA-MWSN aim to provide uniform energy distribution in mobile sensor networks where nodes may become densely or sparsely distributed.