3. Edition - January 2010
57.90 Euro
2010. 606 Pages, Softcover
ISBN-10: 0-470-74376-X
ISBN-13: 978-0-470-74376-8 - John Wiley & Sons






Sample Chapter

Short description
This new edition of a classic text has been updated with the latest advances in the area of fuzzy logic. It introduces new material on expansions of the MLFE method using genetic algorithms, cognitive mapping, fuzzy agent-based models and total uncertainty. This resource features completely revised end-of-chapter problems, a companion Web site, and abundant new illustrations and examples using MATLAB code, making it an invaluable tool for students as well as for self-study by practicing engineers.

From the contents
About the Author

Preface to the Third Edition


1 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


2 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


3 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


4 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


5 Logic and Fuzzy Systems

Part I Logic

Classical Logic

Proof

Fuzzy Logic

Approximate Reasoning

Other Forms of the Implication Operation

Part II Fuzzy Systems

Natural Language

Linguistic Hedges

Fuzzy (Rule-Based) Systems

Graphical Techniques of Inference

Summary

References

Problems


6 Development of Membership Functions

Membership Value Assignments

Intuition

Inference

Rank Ordering

Neural Networks

Genetic Algorithms

Inductive Reasoning

Summary

References

Problems


7 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


8 Fuzzy Systems Simulation

Fuzzy Relational Equations

Nonlinear Simulation Using Fuzzy Systems

Fuzzy Associative Memories (FAMS)

Summary

References

Problems


9 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


10 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


11 Fuzzy Pattern Recognition

Feature Analysis

Partitions of the Feature space

Single-Sample Identification

Multifeature Pattern Recognition

Image Processing

Summary

References

Problems


12 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


13 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


14 Miscellaneous Topics

Fuzzy Optimization

One-Dimensional Optimization

Fuzzy Cognitive Mapping

Concept Variables and Causal Relations

Fuzzy Cognitive Maps

Agent-Based Models

Summary

References

Problems


15 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