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by Timothy J. Ross
Fuzzy Logic with Engineering Applications, 4th Edition
Cover
Title Page
About the Author
Preface to the Fourth 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
Fuzzy Sets and Membership
Chance versus Fuzziness
Intuition of Uncertainty: Fuzzy versus Probability
Sets as Points in Hypercubes
Summary
References
Problems
2 Classical Sets and Fuzzy Sets
Classical Sets
Fuzzy Sets
Summary
References
Problems
3 Classical Relations and Fuzzy Relations
Cartesian Product
Crisp Relations
Fuzzy Relations
Tolerance and Equivalence Relations
Fuzzy Tolerance and Equivalence Relations
Value Assignments
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
λ‐Cuts for Fuzzy Relations
Defuzzification to Scalars
Summary
References
Problems
5 Logic and Fuzzy Systems
Part I: Logic
Classical Logic
Fuzzy Logic
Part II: Fuzzy Systems
Summary
References
Problems
6 Historical Methods of Developing 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 and Pattern Recognition
Fuzzy Classification
Classification by Equivalence Relations
Cluster Analysis
Cluster Validity
c‐Means Clustering
Hard c‐Means (HCM)
Fuzzy c‐Means (FCM)
Classification Metric
Hardening the Fuzzy c‐Partition
Similarity Relations from Clustering
Fuzzy Pattern Recognition
Single‐Sample Identification
Multifeature Pattern Recognition
Summary
References
Problems
11 Fuzzy Control Systems
Control System Design Problem
Examples of Fuzzy Control System Design
Fuzzy Engineering Process Control
Fuzzy Statistical Process Control
Industrial Applications
Summary
References
Problems
12 Applications of Fuzzy Systems Using Miscellaneous Models
Fuzzy Optimization
Fuzzy Cognitive Mapping
Agent‐Based Models
Fuzzy Arithmetic and the Extension Principle
Fuzzy Algebra
Data Fusion
Summary
References
Problems
13 Monotone Measures
Monotone Measures
Belief and Plausibility
Evidence Theory
Probability Measures
Possibility and Necessity Measures
Possibility Distributions as Fuzzy Sets
Possibility Distributions Derived from Empirical Intervals
Summary
References
Problems
Index
End User License Agreement
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Copyright
FUZZY LOGIC WITH ENGINEERING APPLICATIONS
Fourth Edition
Timothy J. Ross
University of New Mexico, USA
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