Fuzzy Chaotic Systems

Bringing together the two seemingly unrelated concepts,fuzzy logic andchaos theory,isprimarilymotivatedbytheconceptofsoft computing (SC),initiated by Lot? A. Zadeh, the founder of fuzzy set theory. The principal constituents of SC are fuzzy logic (FL), neural network theory (NN) and probabilistic reasoning (PR), with the latter subsuming parts of belief networks, genetic algorithms, chaos theory and learning theory. What is important to note is that SC is not a melange of FL, NN and PR. Rather, it is an integration in which each of the partners contributes a distinct methodology for addressing problems in their common domain. In this perspective, the principal cont- butions of FL, NN and PR are complementary rather than competitive. SC di?ers from conventional (hard) computing in that it is tolerant of imprecision, uncertainty and partial truth. In e?ect, the role model for soft computing is the human mind. From the general SC concept, we extract FL and chaos theory as the object of this book to study their relationships or interactions. Over the past few decades, fuzzy systems technology and chaos theory have received ever increasing research interests from, respectively, systems and control engineers, theoretical and experimental physicists, applied ma- ematicians, physiologists, and other communities of researchers. Especially, as one of the emerging information processing technologies, fuzzy systems technology has achieved widespread applications around the globe in many industriesandtechnical?elds,rangingfromcontrol,automation,andarti?cial intelligence (AI) to image/signal processing and pattern recognition. On the otherhand,inengineeringsystemschaostheoryhasevolvedfrombeingsimply a curious phenomenon to one with real, practical signi?cance andutilization.

Overviews the theory, methodologies and applications of the fascinating field of Fuzzy systems and Chaos 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

"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.

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.