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The Idea of data clustering with PSO has been around for recent years. In this paper, the technique of data clustering using Particle Swarm Optimization Algorithm improves with offering a new fitness. After that, it is applied to fuzzy clustering. Then, our clustering PSO improved by combining it with chaos theory. Different chaotic maps were used in our CPSO Clustering Algorithm. They are all analyzed and compared to each other and their impact on clustering results are measured. At last, our new idea was compared to previous methods in action and experiments show a tremendous improvement in the results.