A First Course in Fuzzy Logic, Third Edition
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A First Course in Fuzzy Logic, Third Edition

A First Course in Fuzzy Logic, Third Edition


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About the Book

Using material from a successful course on fuzzy logic, this book is an introduction to the theory of fuzzy sets: mathematical objects modeling the vagueness of our natural language when we describe phenomena that do not have sharply defined boundaries. The book provides background information necessary to apply fuzzy set theory in various areas, including engineering, fuzzy logic, and decision making. The exercises at the end of each chapter serve to deepen the reader's understanding of the concepts, and to test their ability to make the necessary calculations.

Table of Contents:
Chapter 1. The Concept of Fuzziness Examples Mathematical Modeling Some Operations on Fuzzy Sets Fuzziness as Uncertainty Exercises Chapter 2. Some Algebra of Fuzzy Sets Boolean Algebras and Lattices Equivalence Relations and Partitions Composing Mappings Isomorphisms and Homomorphisms Alpha-Cuts Images of Alpha-Level Sets Exercises Chapter 3. Fuzzy Quantities Fuzzy Quantities Fuzzy Numbers Fuzzy Intervals Exercises Chapter 4. Logical Aspects of Fuzzy Sets Classical Two-Valued Logic A Three-Valued Logic Fuzzy Logic Fuzzy and Lukasiewicz Logics Interval-Valued Fuzzy Logic Probabilistic Logic Exercises Chapter 5. Basic Connectives t-Norms Generators of t-Norms Negations t-Conorms Fuzzy Implications Interval-Valued Fuzzy Sets Sensitivity of Connectives Exercises Chapter 6. Fuzzy Relations Definitions and Examples Binary Fuzzy Relations Operations on Fuzzy Relations Exercises Chapter 7. Universal Approximation Fuzzy Rule Bases Design Methodologies Some Mathematical Background Approximation Capability Exercises Chapter 8. Possibility Theory Set Functions Possibility Possibility Theory Baesd on Fuzzy Sets Approximate Reasoning A Simple Form of Generalized Modus Ponens The Compositional Rule of Inference Exercises Chapter 9. Partial Knowledge Incomplete Probabilistic Information Belief Functions Reasoning with Belief Functions Decision Making Exercises Chapter 10. Fuzzy Measures Motivation and Definitions Fuzzy Measures and Lower Probabilities Fuzzy Measures in Other Areas Conditional Fuzzy Measures Exercises Chapter 11. Fuzzy Integrals Review of the Lebesgue Integral The Sugeno Integral Choquet Integral The Choquet Integral as a Fuzzy Integral Exercises Chapter 12. Fuzzy Modeling Motivation for Fuzzy Control The Methodology of Fuzzy Control Optimal Fuzzy Control An Analysis of Fuzzy Control Techniques Approximate Reasoning in Expert Systems Exercises Bibliography Answers to Selected Exercises Index


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Product Details
  • ISBN-13: 9780849394775
  • Publisher: Taylor & Francis Inc
  • Publisher Imprint: CRC Press Inc
  • Height: 235 mm
  • No of Pages: 288
  • Returnable: N
  • Width: 156 mm
  • ISBN-10: 0849394775
  • Publisher Date: 22 Aug 1996
  • Binding: Hardback
  • Language: English
  • No of Pages: 288
  • Weight: 590 gr


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