Classification with big data has become one of the latest trends when talking about learning from the available information.
The data growth in the last years has rocketed the interest in effectively acquiring knowledge to analyze and predict trends. The
variety and veracity that are related to big data introduce a degree of uncertainty that has to be handled in addition to the vol-
ume and velocity requirements. This data usually also presents what is known as the problem of classification with imbalanced
datasets, a class distribution where the most important concepts to be learned are presented by a negligible number of examples in
relation to the number of examples from the other classes. In order to adequately deal with imbalanced big data we propose the
Chi-FRBCS-BigDataCS algorithm, a fuzzy rule based classification system that is able to deal with the uncertainly that is intro-
duced in large volumes of data without disregarding the learning in the underrepresented class. The method uses the MapReduce
framework to distribute the computational operations of the fuzzy model while it includes cost-sensitive learning techniques in its
design to address the imbalance that is present in the data. The good performance of this approach is supported by the experimental
analysis that is carried out over twenty-four imbalanced big data cases of study. The results obtained show that the proposal is able
to handle these problems obtaining competitive results both in the classification performance of the model and the time needed for
the computation