Fuzzy Logic with Engineering Applications, 3rd Edition
March 2010, ©2009
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.
Preface to the Third Edition.
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.
Fuzzy Sets and Membership.
Chance Versus Fuzziness.
Sets as Points in Hypercubes.
2 Classical Sets and Fuzzy Sets.
Operations on Classical Sets.
Properties of Classical (Crisp) Sets.
Mapping of Classical Sets to Functions.
Fuzzy Set Operations.
Properties of Fuzzy Sets.
Alternative Fuzzy Set Operations.
3 Classical Relations and Fuzzy Relations.
Cardinality of Crisp Relations.
Operations on Crisp Relations.
Properties of Crisp 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.
Other Similarity Methods.
Other Forms of the Composition Operation.
4 Properties of Membership Functions, Fuzzification, and Defuzzification.
Features of the Membership Function.
Defuzzification to Crisp Sets.
λ-Cuts for Fuzzy Relations.
Defuzzification to Scalars.
5 Logic and Fuzzy Systems.
Part I Logic.
Other Forms of the Implication Operation.
Part II Fuzzy Systems.
Fuzzy (Rule-Based) Systems.
Graphical Techniques of Inference.
6 Development of Membership Functions.
Membership Value Assignments.
7 Automated Methods for Fuzzy Systems.
Batch Least Squares Algorithm.
Recursive Least Squares Algorithm.
Learning From Examples.
Modified Learning From Examples.
8 Fuzzy Systems Simulation.
Fuzzy Relational Equations.
Nonlinear Simulation Using Fuzzy Systems.
Fuzzy Associative Memories (FAMS).
9 Decision Making with Fuzzy Information.
Fuzzy Synthetic Evaluation.
Preference and Consensus.
Multiobjective Decision Making.
Fuzzy Bayesian Decision Method.
Decision Making Under Fuzzy States and Fuzzy Actions.
10 Fuzzy Classification.
Classification by Equivalence Relations.
Hard c-Means (HCM).
Fuzzy c-Means (FCM).
Fuzzy c-Means Algorithm.
Hardening the Fuzzy c-Partition.
Similarity Relations from Clustering.
11 Fuzzy Pattern Recognition.
Partitions of the Feature Space.
Multifeature Pattern Recognition.
12 Fuzzy Arithmetic and the Extension Principle.
Crisp Functions, Mapping, and Relations.
Functions of Fuzzy Sets – Extension Principle.
Fuzzy Transform (Mapping).
Interval Analysis in Arithmetic.
Approximate Methods of Extension.
Restricted DSW Algorithm.
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 Statistical Process Control.
Measurement Data – Traditional SPC.
Attribute Data – Traditional SPC.
14 Miscellaneous Topics.
Fuzzy Cognitive Mapping.
Concept Variables and Causal Relations.
Fuzzy Cognitive Maps.
15 Monotone Measures: Belief, Plausibility, Probability, and Possibility.
Belief and Plausibility.
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.