International audienceThis paper tackles the problem of incremental and decremental learning of an evolving and customizable fuzzy inference system for classification. We explain the interest of integrating a forgetting capacity in such an evolving system to improve its performances in changing environment. In this paper, we describe two decremental learning strategies, to introduce a forgetting capacity in evolving fuzzy inference systems. Both techniques use a sliding window to introduce forgetting in the optimization process of fuzzy rules conclusions. The first approach is based on a downdating technique of least squares solutions for unlearning old data. The second integrates differed directional forgetting in the covariance matrices u...