Fuzzy and Neural: Interactions and Applications / Edition 1

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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.

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Product Details

  • ISBN-13: 9783790811704
  • Publisher: Physica-Verlag HD
  • Publication date: 3/5/1999
  • Series: Studies in Fuzziness and Soft Computing Series, #25
  • Edition description: 1999
  • Edition number: 1
  • Pages: 162
  • Product dimensions: 0.50 (w) x 9.21 (h) x 6.14 (d)

Table of Contents

Introduction.- Fuzzy Sets and Fuzzy Functions: Fuzzy Sets; Algebra of Fuzzy Sets; Fuzzy Arithmetic; Fuzzy Expressions; Fuzzy Functions.- Neural Nets: Universal Approximators; Backpropagation Algorithm.- First Approximation Results: Fuzzy Expert Systems; Discrete Fuzzy Expert System; Fuzzy Controller; Summary; Applications.- Hybrid Neural Nets: Discrete Fuzzy Expert Systems; Fuzzy Controller; Summary.- Neural Nets Solve Fuzzy Problems: Fuzzy Equations; Approximate Fuzzy Functions; Summary.- Fuzzy Neural Nets: Evaluation; Training; Summary.- Second Approximation Results: Universal Approximators; Approximations; Summary.- Hybrid Fuzzy Neural Nets: Universal Approximator.- Applications of Hybrid Fuzzy Neural Nets and Fuzzy Neural Nets: Fuzzy Expert System; Fuzzy Input-Output Controllers; Fuzzy Functions; Summary on HFNNs; Overfitting.- Fuzzy Teaching Machine: Real World; Verbal Evaluation; Input Translator; Fuzzy Expert System; Output Translator; Example.- Summary, Future Research and Conclusions: Summary; Future Research; Conclusions.

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