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Motivated by our research on specific information loss measures (in privacy preserving data mining) and our need to compare fuzzy clusters, we proposed in a recent paper a definition for intuitionistic fuzzy partitions. We showed how to define them in the framework of fuzzy clustering. That is, we introduced a method to define intuitionistic fuzzy partitions from the results of fuzzy clustering. In this paper we further study such intuitionistic fuzzy partitions and we extend our previous results with other types of fuzzy clustering algorithms.