Neuro-Fuzzy Architectures Based on the Mamdani Approach

The fuzzy inference neural networks (see Section 3.3) that realize the inference based on the Mamdani approach are the subject of this chapter. Different, multi-layer, architectures of the neuro-fuzzy systems are portrayed. The systems with various fuzzifiers (singleton, non-singleton), defuzzifiers, and inference operations, are considered. All these systems can be trained, when applied to solve practical problems, similarly to neural networks. Learning methods of neuro-fuzzy systems are presented in Chapter 6, including the architecture-based learning, proposed in Section 6.1.3. Interested readers may also be referred to [420], [434].