The relationship between interpretations of nested partitions is analyzed in this work, since there are multiple situations where a refinement of the original partition arises. As a result, a new methodology NCI-IMS is proposed in order to maintain the consistency between interpretations of nested partitions. This methodology extends a previous methodology that obtains classes' descriptors by determining the significance's robustness of the characteristics significance. Then, NCI-IMS takes advantage of the descriptors robustness obtaining a deeper analysis of the relations between superclass's and subclasses' descriptors.