This paper presents a hierarchical fuzzy logic canceller that suppresses digital and/or analog interference from a CDMA signal. The optimum filter to remove them is the Conditional Mean Estimator (CME) or the MAP detector of the interference. The CME and MAP, however, present a high computational burden which difficult their feasibility. To overcome this drawback, we propose a hierarchical fuzzy canceller that is beneficial in terms of computational load. Finally, asymptotic studies of the Signal to Interference plus Noise Ratio improvement (SINR) and the working region of the fuzzy canceller have been carried out.