Fuzzy Chaotic Systems

Modeling, Control, and Applications
1. Auflage. Softcover version of original hardcover Auflage 2006
ISBN: 978-3-642-06979-6
Verlag: Springer

Buch, Englisch, 300 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 476 g

Reihe: Studies in Fuzziness and Soft Computing

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.

Zielgruppe

Research

Autoren/Hrsg.

Li, Zhong

Fachgebiete

• Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computer-Aided Design (CAD)
• Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Robotik
• Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz Wissensbasierte Systeme, Expertensysteme
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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.