Fuzzy Control

1. Front Matter

   Pages I-XII

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2. Introductory Sections

   1. Front Matter

      Pages 1-1

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   2. From Computing with Numbers to Computing with Words — From Manipulation of Measurements to Manipulation of Perceptions

      • Lotfi. A. Zadeh

      Pages 3-37

   3. Fractal Logics Versus Fuzzy Logics

      • Manfred Peschel

      Pages 38-51

   4. Knowledge Representation Using Fuzzy Logic Based Characteristics

      • Nasredin Chaker, Rainer Hampel

      Pages 52-73

3. Fuzzy Sets Theory

   1. Front Matter

      Pages 75-75

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   2. On t-Norms as Basic Connectives for Fuzzy Logic

      • Siegfried Gottwald

      Pages 77-87

   3. Generalized Parametric Conjunction Operations in Fuzzy Modeling

      • Ildar Batyrshin

      Pages 88-97

   4. The Equality of Inference Results Using Fuzzy Implication and Conjunctive Interpretations of the If-Then Rules Under Defuzzification

      • E. Czogała, N. Henzel, J. Łeski

      Pages 98-108

   5. Adaptive Information System for Data Approximation Problems

      • Witold Kosiński, Martyna Weigl

      Pages 109-120

   6. FGCounts of Fuzzy Sets with Triangular Norms

      • Maciej Wygralak, Daniel Pilarski

      Pages 121-131

   7. On the Approximate Solution of Fuzzy Equation Systems

      • Michael Wagenknecht, Volker Schneider, Rainer Hampel

      Pages 132-141

   8. Using Fuzzy Parasets in Problem-Solving Under Uncertainty

      • Jozef Šajda

      Pages 142-153

   9. On the Change of the Distribution Shape of Randomized Fuzzy Variables by Filtering over Compatibility Degrees

      • Jiri Georg Sustal

      Pages 154-165

   10. On Optimization with Fuzzy Constraint Conditions

       • Jun Liu, Da Ruan, Zhenming Song, Yang Xu

       Pages 166-173

4. Fuzzy Control Theory

   1. Front Matter

      Pages 175-175

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   2. Inference Methods for Partially Redundant Rule Bases

      • Ralf Mikut, Jens Jäkel, Lutz Gröll

      Pages 177-185

   3. Analysis and Design of Fuzzy PID Controller Based on Classical PID Controller Approach

      • Petr Pivoňka

      Pages 186-199

   4. Expert Methods in the Theory of Automatic Control

      • V. Rotach

      Pages 200-205

   5. Comparative Analysis of Classical and Fuzzy PID Algorithms

      • Edik Arakeljan, Mark Panko, Vasili Usenko

      Pages 206-212

The present edited volume is of special importance, and for various reasons. First of all, it is one of the most comprehensive and multifaceted coverage of broadly per­ ceived fuzzy control in the literature. The editors have succeeded to collect papers from leading scholars and researchers on various subjects related to the topic of the volume. What is relevant and original is that - as opposed to so many volumes on fuzzy control published by virtually all major publishing houses that are strongly technically oriented and covering a narrow spectrum of issues relevant to fuzzy con­ trol itself - the editors have adopted a more general and far sighted approach. Basically, the perspective assumed in the volume is that though fuzzy control has reached such a level of maturity and implementability that it has become a part of in­ dustrial practice, science and academic research still have a relevant role to play in this area. One should however take into account that by their very nature, the role of science and academic research is very peculiar and going beyond straightforward ap­ plications, ad hoc solutions, "quick and dirty" tools and techniques, etc. that are usu­ ally effective and efficient for solving practical problems. This does not mean that as­ pects of practical implementations should not be accounted for by scholars and re­ searchers.

• artificial intelligence
• automation
• control theory
• fuzzy control
• fuzzy logic
• fuzzy set
• fuzzy system
• industrial process
• modeling
• neural network
• neuro-fuzzy systems
• optimization
• pid control
• pid controller
• simulation
• complexity

• Institute of Process Technique, Automation and Measuring Technique (IPM), University of Applied Sciences Zittau/Görlitz, Zittau, Germany

  Rainer Hampel, Michael Wagenknecht, Nasredin Chaker

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