Fuzzy Chaotic Systems

"Fuzzy Chaotic Systems" provides original heuristic research achievements and insightful ideas on the interactions or intrinsic relationships between fuzzy logic and chaos theory. It presents the fundamental concepts of fuzzy logic and fuzzy control, chaos theory and chaos control, as well as thedefinition of chaos on the metric space of fuzzy sets. This monograph discusses and illustrates fuzzy modeling and fuzzy control of chaotic systems, synchronization, anti-control of chaos, intelligent digital redesign, spatiotemporal chaos and synchronization in complex fuzzy systems; as well as a practical application example of fuzzy-chaos-based cryptography. Like other very good books, this book may raise more questions than it can provide answers. It therefore generates a great potential to attract more attention to combine fuzzy systems with chaos theory and contains important seeds for future scientific research and engineering applications.

Texte du rabat

This book presents the fundamental concepts of fuzzy logic and fuzzy control, chaos theory and chaos control. It also provides a definition of chaos on the metric space of fuzzy sets. The book raises many questions and generates a great potential to attract more attention to combine fuzzy systems with chaos theory. In this way it contains important seeds for future scientific research and engineering applications.

Contenu

Fuzzy Logic and Fuzzy Control.- Chaos and Chaos Control.- Definition of Chaos in Metric Spaces of Fuzzy Sets.- Fuzzy Modeling of Chaotic Systems - I (Mamdani Model).- Fuzzy Modeling of Chaotic Systems - II (TS Model).- Fuzzy Control of Chaotic Systems - I (Mamdani Model).- Adaptive Fuzzy Control of Chaotic Systems (Mamdani Model).- Fuzzy Control of Chaotic Systems - II (TS Model).- Synchronization of TS Fuzzy Systems.- Chaotifying TS Fuzzy Systems.- Intelligent Digital Redesign for TS Fuzzy Systems.- Spatiotemporal Chaos and Synchronization in Complex Fuzzy Systems.- Fuzzy-chaos-based Cryptography.