Fuzzy Logic with Engineering Applications, 4th Edition

Description

The latest update on this popular textbook The importance of concepts and methods based on fuzzy logic and fuzzy set theory has been rapidly growing since the early 1990s and all the indications are that this trend will continue in the foreseeable future. Fuzzy Logic with Engineering Applications, Fourth Edition is a new edition of the popular textbook with 15% of new and updated material. Updates have been made to most of the chapters and each chapter now includes new end-of-chapter problems. Key features: New edition of the popular textbook with 15% of new and updated material. Includes new examples and end-of-chapter problems. Has been made more concise with the removal of out of date material. Covers applications of fuzzy logic to engineering and science. Accompanied by a website hosting a solutions manual and software. The book is essential reading for graduates and senior undergraduate students in civil, chemical, mechanical and electrical engineering as wells as researchers and practitioners working with fuzzy logic in industry. Title Page Copyright Contents About the Author Preface to the Fourth Edition Chapter 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 Chapter 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 Chapter 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 Chapter 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 Chapter 5 Logic and Fuzzy Systems Part I: Logic Classical Logic Tautologies Contradictions Equivalence Exclusive Or and Exclusive Nor Logical Proofs Deductive Inferences Fuzzy Logic Approximate Reasoning Other Forms of the Implication Operation Part II: Fuzzy Systems Natural Language Linguistic Hedges Fuzzy (Rule-Based) Systems Aggregation of Fuzzy Rules Graphical Techniques of Inference Summary References Problems Chapter 6 Historical Methods of Developing Membership Functions Membership Value Assignments Intuition Inference Rank Ordering Neural Networks Genetic Algorithms Inductive Reasoning Summary References Problems Chapter 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 Chapter 8 Fuzzy Systems Simulation Fuzzy Relational Equations Nonlinear Simulation Using Fuzzy Systems Fuzzy Associative Memories (FAMs) Summary References Problems Chapter 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 Example Summary Summary References Problems Chapter 10 Fuzzy Classification and Pattern Recognition 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 Fuzzy Pattern Recognition Single-Sample Identification Multifeature Pattern Recognition Summary References Problems Chapter 11 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 Classical PID Control Fuzzy Control Multi-Input, Multi-Output (MIMO) Control Systems Fuzzy Statistical Process Control Measurement Data: Traditional SPC Plant Simulation Establishing Fuzzy Membership Values Attribute Data: Traditional SPC Industrial Applications Summary References Problems Chapter 12 Applications of Fuzzy Systems Using Miscellaneous Models Fuzzy Optimization One-Dimensional Optimization Fuzzy Cognitive Mapping Concept Variables and Causal Relations Paths and Cycles Indirect Effect Total Effect Indeterminacy Fuzzy Cognitive Maps Adjacency Matrix Threshold Function Feedback Min–Max Inference Approach Genetically Evolved Fuzzy Cognitive Maps Agent-Based Models Fuzzy Arithmetic and the Extension Principle Extension Principle Crisp Functions, Mapping, and Relations Functions of Fuzzy Sets: Extension Principle Fuzzy Algebra Fuzzy Arithmetic Data Fusion Kalman Filter in Data Fusion Summary References Problems Chapter 13 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 EULA