The text combines the related fields of neural networks and fuzzy systems_from the theoretical level of first principles and the applications level of new adaptive fuzzy systems in control and signal processing. The book develops neural networks as both trainable dynamical systems and stochastic gradient systems, focusing on principles of learning, self-organization and stability.
Key Features
· Presents the new geometric theory of fuzzy sets as points in hypercubes and fuzzy systems as parallel associative reasoning systems_"principle-based" systems_generated from expert advice or training data.· Shows how to generate structured fuzzy systems with unsupervised or supervised neural networks.· Shows how to convert neural networks to structured fuzzy systems.· Includes detailed theoretical and software homework problems.· Reviews all required mathematics from matrix algebra and probability theory to dynamical systems.