Fuzzy and Neural: Interactions and Applications

1. Front Matter

   Pages I-XIII

   PDF

2. Introduction

   • James J. Buckley, Thomas Feuring

   Pages 1-2

3. Fuzzy Sets and Fuzzy Functions

   • James J. Buckley, Thomas Feuring

   Pages 3-19

4. Neural Nets

   • James J. Buckley, Thomas Feuring

   Pages 21-34

5. First Approximation Results

   • James J. Buckley, Thomas Feuring

   Pages 35-48

6. Hybrid Neural Nets

   • James J. Buckley, Thomas Feuring

   Pages 49-63

7. Neural Nets Solve Fuzzy Problems

   • James J. Buckley, Thomas Feuring

   Pages 65-75

8. Fuzzy Neural Nets

   • James J. Buckley, Thomas Feuring

   Pages 77-96

9. Second Approximation Results

   • James J. Buckley, Thomas Feuring

   Pages 97-110

10. Hybrid Fuzzy Neural Nets

    • James J. Buckley, Thomas Feuring

    Pages 111-117

11. Applications of Hybrid Fuzzy Neural Nets and Fuzzy Neural Nets

    • James J. Buckley, Thomas Feuring

    Pages 119-132

12. Fuzzy Teaching Machine

    • James J. Buckley, Thomas Feuring

    Pages 133-147

13. Summary, Future Research and Conclusions

    • James J. Buckley, Thomas Feuring

    Pages 149-157

14. Back Matter

    Pages 159-161

    PDF

The primary purpose of this book is to present information about selected topics on the interactions and applications of fuzzy + neural. Most of the discussion centers around our own research in these areas. Fuzzy + neural can mean many things: (1) approximations between fuzzy systems and neu­ ral nets (Chapter 4); (2) building hybrid neural nets to equal fuzzy systems (Chapter 5); (3) using neura.l nets to solve fuzzy problems (Chapter 6); (4) approximations between fuzzy neural nets and other fuzzy systems (Chap­ ter 8); (5) constructing hybrid fuzzy neural nets for certain fuzzy systems (Chapters 9, 10); or (6) computing with words (Chapter 11). This book is not intend to be used primarily as a text book for a course in fuzzy + neural because we have not included problems at the end of each chapter, we have omitted most proofs (given in the references), and we have given very few references. We wanted to keep the mathematical prerequisites to a minimum so all longer, involved, proofs were omitted. Elementary dif­ ferential calculus is the only prerequisite needed since we do mention partial derivatives once or twice.

• Evolutionary Algorithms
• Evolutionäre Alorithmen
• Fuzzy Logic
• Fuzzy-Logik
• Neural Nets
• Soft Computing
• expert system
• fuzzy
• fuzzy set
• fuzzy system

• Mathematics Department, University of Alabama at Birmingham, Birmingham, USA

  James J. Buckley

• Department of Electrical and Computer Science, University of Siegen, Siegen, Germany

  Thomas Feuring

Policies and ethics