A Learner's Guide to Fuzzy Logic Systems, Second Edition.
- 1st ed.
- 1 online resource (127 pages)
Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- List of Figures -- List of Tables -- Table of Contents -- List of Tables -- Preface to Second Edition -- Author -- Chapter 1: Unravelling Uncertainty Through Simple Examples -- 1.1 Introduction -- 1.2 Examples -- 1.3 A Simple View of Fuzzy Logic -- 1.4 Learning Ability -- 1.5 Different Phases of Uncertainty -- 1.5.1 Inexactness -- 1.5.2 Semantic Ambiguity -- 1.5.3 Visual Ambiguity -- 1.5.4 Structural Ambiguity -- 1.5.5 Undecidability -- 1.6 Probability and Uncertainty -- 1.7 Conclusion -- Questions -- Chapter 2: Fuzzy Sets -- 2.1 Introduction -- 2.2 Classical Sets (Crisp Sets) -- 2.2.1 A Control Application Using Crisp Set -- 2.3 Concept of a Fuzzy Set -- 2.4 Basic Properties and Characteristics of Fuzzy Sets -- 2.4.1 Universe of Discourse -- 2.4.2 Fuzzy Set Domain -- 2.4.3 Shouldered Fuzzy Set -- 2.4.4 Height of Fuzzy Set -- 2.4.5 Overlap between Fuzzy Sets -- 2.4.6 Left and Right Width of Fuzzy Set -- 2.4.7 Non-Convex and Convex Fuzzy Sets -- 2.4.8 Commonly Employed Fuzzy Sets -- 2.5 Crisp Fuzzy Set Operations -- 2.6 Basic Operations on Fuzzy Sets -- 2.6.1 Intersection of Fuzzy Sets -- 2.6.2 Union of Fuzzy Sets -- 2.6.3 Complement (Negation) of Fuzzy Sets -- 2.7 Conclusion -- Questions -- Chapter 3: Fuzzy Reasoning -- 3.1 Introduction -- 3.2 A Conventional Control System -- 3.3 Major Components of a Fuzzy Logic System -- 3.3.1 Fuzzification -- 3.3.2 Inference Engine -- 3.3.2.1 Rule Base or Fuzzy Propositions -- 3.3.2.2 Min-Max Method of Implication -- 3.3.3 Defuzzification Methods -- 3.3.3.1 Centre of Area Method or Centre of Gravity Method -- 3.3.3.2 Centre of Sums Method -- 3.3.3.3 Height Method -- 3.3.3.4 Centre of Largest Area Method -- 3.3.3.5 First of Maxima Method -- 3.3.3.6 Last of Maxima Method -- 3.3.3.7 Middle of Maxima Method. 3.4 Comparison and Evaluation of Deffuzification Methods -- 3.4.1 Continuity -- 3.4.2 Unambiguity -- 3.4.3 Plausibility -- 3.4.4 Computational Complexity -- 3.4.5 Weight Counting -- 3.5 Conclusion -- Questions -- Chapter 4: Design Aspects of Fuzzy Systems and Fuzzy Logic Applications -- 4.1 Introduction -- 4.2 Suggestions on Fuzzy Set Design -- 4.3 Extracting Information from Knowledge Engineer -- 4.4 Adaptive Fuzzy Control -- 4.5 Fuzzy Decision-Making -- Solution -- Solution -- 4.6 Neuro-Fuzzy Systems -- 4.7 Fuzzy Genetic Algorithms -- 4.8 Fuzzy Logic for Genetic Algorithms -- 4.9 DC Motor Speed Control Using Fuzzy Logic Principle -- 4.10 Fuzzy Logic-Based Washing Machine -- 4.11 Conclusion -- Questions -- Bibliography.
This book presents a very introductory coverage of the topic of fuzzy logic, including a few basic principles from an interdisciplinary perspective. It includes concept of evolving a fuzzy set and fuzzy set operations, fuzzification rule base design and defuzzification and simple guidelines for fuzzy sets design and selected applications.