Fuzzy Logic with Engineering Applications (eBook)

Timothy J. Ross (Autor)

eBook Download: PDF

2016 | 4. Auflage
Wiley (Verlag)
978-1-119-23585-9 (ISBN)

Infos

Explore the diverse electrical engineering application of polymer composite materials with this in-depth collection edited by leaders in the field

Polymer Composites for Electrical Engineering delivers a comprehensive exploration of the fundamental principles, state-of-the-art research, and future challenges of polymer composites. Written from the perspective of electrical engineering applications, like electrical and thermal energy storage, high temperature applications, fire retardance, power cables, electric stress control, and others, the book covers all major application branches of these widely used materials.

Rather than focus on polymer composite materials themselves, the distinguished editors have chosen to collect contributions from industry leaders in the area of real and practical electrical engineering applications of polymer composites. The book's relevance will only increase as advanced polymer composites receive more attention and interest in the area of advanced electronic devices and electric power equipment.

Unique amongst its peers, Polymer Composites for Electrical Engineering offers readers a collection of practical and insightful materials that will be of great interest to both academic and industrial audiences. Those resources include:

A comprehensive discussion of glass fiber reinforced polymer composites for power equipment, including GIS, bushing, transformers, and more)

Explorations of polymer composites for capacitors, outdoor insulation, electric stress control, power cable insulation, electrical and thermal energy storage, and high temperature applications

A treatment of semi-conductive polymer composites for power cables

In-depth analysis of fire-retardant polymer composites for electrical engineering

An examination of polymer composite conductors

Perfect for postgraduate students and researchers working in the fields of electrical, electronic, and polymer engineering, Polymer Composites for Electrical Engineering will also earn a place in the libraries of those working in the areas of composite materials, energy science and technology, and nanotechnology.

Timothy J. Ross, University of New Mexico, USA
Dr. Ross is a professor within the Department of Civil Engineering at the University of New Mexico where he teaches courses in structural analysis, structural dynamics and fuzzy logic. He is a registered professional engineer with over 30 years' experience in the fields of computational mechanics, hazard survivability, structural dynamics, structural safety, stochastic processes, risk assessment, and fuzzy systems. He is also the founding Editor-in-Chief of the International Journal, Intelligent and Fuzzy Systems.

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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.

Inhalt

Title Page 5
Copyright 6
Contents 9
About the Author 13
Preface to the Fourth Edition 15
Chapter 1 Introduction 21
The Case for Imprecision 22
A Historical Perspective 24
The Utility of Fuzzy Systems 27
Limitations of Fuzzy Systems 29
The Illusion: Ignoring Uncertainty and Accuracy 31
Uncertainty and Information 33
Fuzzy Sets and Membership 34
Chance versus Fuzziness 37
Intuition of Uncertainty: Fuzzy versus Probability 39
Sets as Points in Hypercubes 41
Summary 43
References 43
Problems 44
Chapter 2 Classical Sets and Fuzzy Sets 47
Classical Sets 48
Operations on Classical Sets 50
Properties of Classical (Crisp) Sets 52
Mapping of Classical Sets to Functions 55
Fuzzy Sets 56
Fuzzy Set Operations 58
Properties of Fuzzy Sets 59
Alternative Fuzzy Set Operations 64
Summary 65
References 66
Problems 66
Chapter 3 Classical Relations and Fuzzy Relations 71
Cartesian Product 72
Crisp Relations 73
Cardinality of Crisp Relations 75
Operations on Crisp Relations 75
Properties of Crisp Relations 76
Composition 76
Fuzzy Relations 78
Cardinality of Fuzzy Relations 78
Operations on Fuzzy Relations 79
Properties of Fuzzy Relations 79
Fuzzy Cartesian Product and Composition 79
Tolerance and Equivalence Relations 87
Crisp Equivalence Relation 88
Crisp Tolerance Relation 88
Fuzzy Tolerance and Equivalence Relations 90
Value Assignments 92
Cosine Amplitude 93
Max–Min Method 95
Other Similarity Methods 96
Other Forms of the Composition Operation 96
Summary 97
References 97
Problems 97
Chapter 4 Properties of Membership Functions, Fuzzification, and Defuzzification 104
Features of the Membership Function 105
Various Forms 107
Fuzzification 108
Defuzzification to Crisp Sets 110
?-Cuts for Fuzzy Relations 112
Defuzzification to Scalars 113
Summary 122
References 123
Problems 124
Chapter 5 Logic and Fuzzy Systems 127
Part I: Logic 127
Classical Logic 128
Tautologies 134
Contradictions 135
Equivalence 136
Exclusive Or and Exclusive Nor 137
Logical Proofs 138
Deductive Inferences 139
Fuzzy Logic 142
Approximate Reasoning 146
Other Forms of the Implication Operation 151
Part II: Fuzzy Systems 152
Natural Language 153
Linguistic Hedges 155
Fuzzy (Rule-Based) Systems 157
Aggregation of Fuzzy Rules 158
Graphical Techniques of Inference 158
Summary 171
References 173
Problems 174
Chapter 6 Historical Methods of Developing Membership Functions 183
Membership Value Assignments 184
Intuition 184
Inference 185
Rank Ordering 187
Neural Networks 188
Genetic Algorithms 199
Inductive Reasoning 208
Summary 215
References 216
Problems 217
Chapter 7 Automated Methods for Fuzzy Systems 221
Definitions 222
Batch Least Squares Algorithm 225
Recursive Least Squares Algorithm 230
Gradient Method 233
Clustering Method 238
Learning from Examples 241
Modified Learning from Examples 244
Summary 253
References 255
Problems 255
Chapter 8 Fuzzy Systems Simulation 257
Fuzzy Relational Equations 262
Nonlinear Simulation Using Fuzzy Systems 263
Fuzzy Associative Memories (FAMs) 266
Summary 277
References 278
Problems 279
Chapter 9 Decision Making with Fuzzy Information 285
Fuzzy Synthetic Evaluation 287
Fuzzy Ordering 289
Nontransitive Ranking 292
Preference and Consensus 295
Multiobjective Decision Making 299
Fuzzy Bayesian Decision Method 305
Decision Making under Fuzzy States and Fuzzy Actions 315
Example Summary 328
Summary 329
References 330
Problems 331
Chapter 10 Fuzzy Classification and Pattern Recognition 343
Fuzzy Classification 344
Classification by Equivalence Relations 344
Crisp Relations 344
Fuzzy Relations 347
Cluster Analysis 352
Cluster Validity 352
c-Means Clustering 353
Hard c-Means (HCM) 353
Fuzzy c-Means (FCM) 363
Fuzzy c-Means Algorithm 365
Classification Metric 371
Hardening the Fuzzy c-Partition 374
Similarity Relations from Clustering 376
Fuzzy Pattern Recognition 377
Single-Sample Identification 377
Multifeature Pattern Recognition 385
Summary 398
References 399
Problems 400
Chapter 11 Fuzzy Control Systems 408
Control System Design Problem 410
Control (Decision) Surface 411
Assumptions in a Fuzzy Control System Design 412
Simple Fuzzy Logic Controllers 412
Examples of Fuzzy Control System Design 413
Aircraft Landing Control Problem 418
Fuzzy Engineering Process Control 424
Classical Feedback Control 425
Classical PID Control 426
Fuzzy Control 429
Multi-Input, Multi-Output (MIMO) Control Systems 433
Fuzzy Statistical Process Control 437
Measurement Data: Traditional SPC 438
Plant Simulation 442
Establishing Fuzzy Membership Values 443
Attribute Data: Traditional SPC 445
Industrial Applications 451
Summary 454
References 457
Problems 458
Chapter 12 Applications of Fuzzy Systems Using Miscellaneous Models 475
Fuzzy Optimization 475
One-Dimensional Optimization 476
Fuzzy Cognitive Mapping 482
Concept Variables and Causal Relations 483
Paths and Cycles 483
Indirect Effect 484
Total Effect 484
Indeterminacy 484
Fuzzy Cognitive Maps 484
Adjacency Matrix 485
Threshold Function 485
Feedback 486
Min–Max Inference Approach 486
Genetically Evolved Fuzzy Cognitive Maps 495
Agent-Based Models 497
Fuzzy Arithmetic and the Extension Principle 501
Extension Principle 502
Crisp Functions, Mapping, and Relations 502
Functions of Fuzzy Sets: Extension Principle 504
Fuzzy Algebra 507
Fuzzy Arithmetic 510
Data Fusion 507
Kalman Filter in Data Fusion 512
Summary 518
References 518
Problems 520
Chapter 13 Monotone Measures: Belief, Plausibility, Probability, and Possibility 525
Monotone Measures 526
Belief and Plausibility 527
Evidence Theory 532
Probability Measures 535
Possibility and Necessity Measures 537
Possibility Distributions as Fuzzy Sets 545
Possibility Distributions Derived from Empirical Intervals 548
Deriving Possibility Distributions from Overlapping Intervals 549
Redistributing Weight from Nonconsonant to Consonant Intervals 550
Comparison of Possibility Theory and Probability Theory 566
Summary 568
References 569
Problems 570
Index 574
EULA 583

Produkt-Details

• Erscheint lt. Verlag: 20.9.2016
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Technik ► Bauwesen
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• Themenwelt: Technik ► Maschinenbau
• Schlagworte: Applications • Control Process & Measurements • Control Systems Technology • Electrical & Electronics Engineering • Elektrotechnik u. Elektronik • Engineering • Examples • fuzzy • Fuzzy Logic • Fuzzy-Logik • Fuzzy-Systeme • Fuzzy Systems • Logic • Maschinenbau • mechanical engineering • Mess- u. Regeltechnik • Problems • Regelungstechnik • Software • Solutions • Textbook • theory • Website
• ISBN-10: 1-119-23585-5 / 1119235855
• ISBN-13: 978-1-119-23585-9 / 9781119235859