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9780470748510

Fuzzy Logic with Engineering Applications, 3rd Edition

by
  • ISBN13:

    9780470748510

  • ISBN10:

    0470748516

  • Format: eBook
  • Copyright: 2009-12-01
  • Publisher: Wiley
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Summary

The first edition of Fuzzy Logic with Engineering Applications (1995) was the first classroom text for undergraduates in the field. Now updated for the second time, this new edition features the latest advances in the field including material on expansion of the MLFE method using genetic algorithms, cognitive mapping, fuzzy agent-based models and total uncertainty. Redundant or obsolete topics have been removed, resulting in a more concise yet inclusive text that will ensure the book retains its broad appeal at the forefront of the literature. Fuzzy Logic with Engineering Applications, 3rd Edition is oriented mainly towards methods and techniques. Every chapter has been revised, featuring new illustrations and examples throughout. Supporting MATLAB code is downloadable at www.wileyeurope.com/go/fuzzylogic. This will benefit student learning in all basic operations, the generation of membership functions, and the specialized applications in the latter chapters of the book, providing an invaluable tool for students as well as for self-study by practicing engineers.

Table of Contents

About the Author
Preface to the Third Edition
Introduction
The Case for Imprecision
A Historical Perspective
The Utility of Fuzzy Systems
Limitations of Fuzzy Systems
The Illusion: Ignoring Uncertainty and Accuracy
Uncertainty and Information
The Unknown
Fuzzy Sets and Membership
Chance Versus Fuzziness
Sets as Points in Hypercubes
Summary
References
Problems
Classical Sets and Fuzzy Sets
Classical Sets
Operations on Classical Sets
Properties of Classical (Crisp) Sets
Mapping of Classical Sets to Functions
Fuzzy Sets
Fuzzy Set Operations
Properties of Fuzzy Sets
Alternative Fuzzy Set Operations
Summary
References
Problems
Classical Relations and Fuzzy Relations
Cartesian Product
Crisp Relations
Cardinality of Crisp Relations
Operations on Crisp Relations
Properties of Crisp Relations
Composition
Fuzzy Relations
Cardinality of Fuzzy Relations
Operations on Fuzzy Relations
Properties of Fuzzy Relations
Fuzzy Cartesian Product and Composition
Tolerance and Equivalence Relations
Crisp Equivalence Relation
Crisp Tolerance Relation
Fuzzy Tolerance and Equivalence Relations
Value Assignments
Cosine Amplitude
Max Min Method
Other Similarity Methods
Other Forms of the Composition Operation
Summary
References
Problems
Properties of Membership Functions, Fuzzification, and Defuzzification
Features of the Membership Function
Various Forms
Fuzzification
Defuzzification to Crisp Sets
Cuts for Fuzzy Relations
Defuzzification to Scalars
Summary
References
Problems
Logic and Fuzzy Systems
Logic
Classical Logic
Proof
Fuzzy Logic
Approximate Reasoning
Other Forms of the Implication Operation
Fuzzy Systems
Natural Language
Linguistic Hedges
Fuzzy (Rule-Based) Systems
Graphical Techniques of Inference
Summary
References
Problems
Development of Membership Functions
Membership Value Assignments
Intuition
Inference
Rank Ordering
Neural Networks
Genetic Algorithms
Inductive Reasoning
Summary
References
Problems
Automated Methods for Fuzzy Systems
Definitions
Batch Least Squares Algorithm
Recursive Least Squares Algorithm
Gradient Method
Clustering Method
Learning From Examples
Modified Learning From Examples
Summary
References
Problems
Fuzzy Systems Simulation
Fuzzy Relational Equations
Nonlinear Simulation Using Fuzzy Systems
Fuzzy Associative Memories (FAMS)
Summary
References
Problems
Decision Making with Fuzzy Information
Fuzzy Synthetic Evaluation
Fuzzy Ordering
Nontransitive Ranking
Preference and Consensus
Multiobjective Decision Making
Fuzzy Bayesian Decision Method
Decision Making Under Fuzzy States and Fuzzy Actions
Summary
References
Problems
Fuzzy Classification
Classification by Equivalence Relations
Crisp Relations
Fuzzy Relations
Cluster Analysis
Cluster Validity
c-Means Clustering
Hard c-Means (HCM)
Fuzzy c-Means (FCM)
Fuzzy c-Means Algorithm
Classification Metric
Hardening the Fuzzy c-Partition
Similarity Relations from Clustering
Summary
References
Problems
Fuzzy Pattern Recognition
Feature Analysis
Partitions of the Feature space
Single-Sample Identification
Multifeature Pattern Recognition
Image Processing
Summary
References
Problems
Fuzzy Arithmetic and the Extension Principle
Extension Principle
Crisp Functions, Mapping, and Relations
Functions of Fuzzy Sets Extension Principle
Fuzzy Transform (Mapping)
Practical Considerations
Fuzzy Arithmetic
Interval Analysis in Arithmetic
Approximate Methods of Extension
Vertex Method
DSW Algorithm
Restricted DSW Algorithm
Comparisons
Summary
References
Problems
Fuzzy Control Systems
Control System Design Problem
Control (Decision) Surface
Assumptions in a Fuzzy Control System Design
Simple Fuzzy Logic Controllers
Examples of Fuzzy Control System Design
Aircraft Landing Control Problem
Fuzzy Engineering Process Control
Classical Feedback Control
Fuzzy Control
Fuzzy Statistical Process Control
Measurement Data Traditional SPC
Attribute Data Traditional SPC
Industrial Applications
Summary
References
Problems
Miscellaneous Topics
Fuzzy Optimization
One-Dimensional Optimization
Fuzzy Cognitive Mapping
Concept Variables and Causal Relations
Fuzzy Cognitive Maps
Agent-Based Models
Summary
References
Problems
Monotone Measures: Belief, Plausibility, Probability,and Possibility
Monotone Measures
Belief and Plausibility
Evidence Theory
Probability Measures
Possibility and Necessity Measures
Possibility Distributions as Fuzzy Sets
Possibility Distributions Derived from Empirical Intervals
Deriving Possibility Distributions from Overlapping Intervals
Redistributing Weight from Nonconsonant to Consonant Intervals
Comparison of Possibility Theory and Probability Theory
Summary
References
Problems
Index
Table of Contents provided by Publisher. All Rights Reserved.

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