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Fuzzy logic with engineering applications

Fuzzy logic with engineering applications (Loan 9 times)

Material type
단행본
Personal Author
Ross, Timothy J.
Title Statement
Fuzzy logic with engineering applications / Timothy J. Ross.
Publication, Distribution, etc
New York :   McGraw-Hill,   c1995.  
Physical Medium
xx, 600 p. : ill. ; 25 cm.
ISBN
0070539170 0071136371 (international ed.)
Bibliography, Etc. Note
Includes bibliographical references and index.
Subject Added Entry-Topical Term
Engineering mathematics. Fuzzy logic.
비통제주제어
Engineering, Mathematics,,
000 00834camuuu200277 a 4500
001 000000507529
003 OCoLC
005 19970519144856.0
008 950215s1995 nyua b 001 0 eng
010 ▼a 95002795
015 ▼a GB95-52059
020 ▼a 0070539170
020 ▼a 0071136371 (international ed.)
040 ▼a DLC ▼c DLC ▼d SCW ▼d UKM ▼d YRM ▼d C#P
049 ▼a ACSL ▼l 121025861
050 0 0 ▼a TA331 ▼b .R74 1995
082 0 0 ▼a 620/.001/5113 ▼2 20
090 ▼a 620.001511 ▼b R826f
100 1 ▼a Ross, Timothy J.
245 1 0 ▼a Fuzzy logic with engineering applications / ▼c Timothy J. Ross.
260 ▼a New York : ▼b McGraw-Hill, ▼c c1995.
300 ▼a xx, 600 p. : ▼b ill. ; ▼c 25 cm.
504 ▼a Includes bibliographical references and index.
650 0 ▼a Engineering mathematics.
650 0 ▼a Fuzzy logic.
653 0 ▼a Engineering ▼a Mathematics

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Science & Engineering Library/Sci-Info(Stacks2)/ Call Number 620.001511 R826f Accession No. 121025861 Availability Available Due Date Make a Reservation Service B M

Contents information

Table of Contents


CONTENTS
Preface = xv
1. Introduction = 1
 Background = 2
 Uncertainty and Imprecision = 4
 Statistics and Random Processes = 6
 Uncertainty in Information = 9
 Fuzzy Sets and Membership = 10
 Chance versus Ambiguity = 12
 Summary = 14
 References = 15
 Problems = 15
2. Classical Sets and Fuzzy Sets = 17
 Classical Sets = 18
 Operations of Classical Sets = 20
 Properties of Classical (Crisp) Sets = 21
 Mapping of Classical Sets to Functions = 24
 Fuzzy Sets = 26
 Fuzzy Sets Operations = 27
 Properties of Fuzzy Sets = 28
 Sets as Points in Hypercubes = 33
 Summary = 35
 References = 35
 Problems = 35
3. Classical Relations and Fuzzy Relations = 46
 Cartesian Product = 47
 Crisp Relations = 48
 Cardinality of Crisp Relations = 49
 Operations on Crisp Relations = 50
 Properties of Crisp Relations = 50
 Composition = 50
 Fuzzy Relations = 52
 Cardinality of Fuzzy Relations = 52
 Operations on Fuzzy Relations = 53
 Properties of Fuzzy Relations = 53
 Fuzzy Cartesian Product and Composition = 53
 Noninteractive Fuzzy Sets = 55
 Tolerance and Equivalence Relations = 60
 Crisp Equivalence Relations = 61
 Crisp Tolerance Relations = 62
 Fuzzy Tolerance and Equivalence Relations = 63
 Value Assignments = 66
 Cosine Amplitude = 67
 Max-min Method = 69
 Other similarity Methods = 69
 Summary = 70
 References = 71
 Problems = 71
 General Relations = 71
 Equivalence Relations = 86
4. Membership Functions = 87
 Features of the Membership Function = 88
 Standard Forms and Boundaries = 90
 Fuzzification = 90
 Membership Value Assignments = 91
 Intuition = 92
 Inference = 93
 Rank Ordering = 94
 Angular Fuzzy Sets = 95
 Neural Networks = 98
 Genetic Algorithms = 109
 Inductive Reasoning = 117
 Summary = 122
 References = 125
 Problems = 126
5. Fuzzy-to-Crisp Conversions = 130
 Lambda-Cuts for Fuzzy Sets = 131
 Lambda-Cuts for Fuzzy Relations = 133
 Defuzzification Methods = 134
 Summary = 146
 References = 147
 Problems = 147
6. Fuzzy Arithmetic, Numbers, Vectors, and the Extension Principle = 151
 Extension Principle = 152
 Crisp Functions, Mapping, and Relations = 153
 Functions of Fuzzy Sets-Extension Principle = 154
 Fuzzy Transform (Mapping) = 155
 Practical Considerations = 157
 Fuzzy Numbers = 162
 Interval Analysis in Arithmetic = 164
 Approximate Methods of Extension = 166
 Vertex Method = 166
 DSW Algorithm = 169
 Restricted DSW Algorithm = 172
 Comparisons = 173
 Fuzzy Vectors = 176
 Summary = 178
 References = 178
 Problems = 179
7. Classical Logic and Fuzzy Logic = 183
 Classical Predicate Logic = 184
 Tautologies = 189
 Contradictions = 191
 Equivalence = 191
 Exclusive Or and Exclusive Nor = 192
 Logical Proofs = 192
 Deductive Inferences = 194
 Fuzzy Logic = 196
 Approximate Reasoning = 199
 Fuzzy Tautologies, Contradictions, Equivalence, and Logical Proofs = 207
 Other Forms of the Implication Operation = 209
 Other Forms of the Composition Operation = 210
 Summary = 211
 References = 211
 Problems = 212
8. Fuzzy Rule-Based Systems = 232
 Natural Language = 233
 Linguistic Hedges = 236
 Rule-Based Systems = 239
 Canonical Rule Forms = 240
 Decomposition of Compound Rules = 241
 Likelihood and Truth Qualification = 243
 Aggregation of Fuzzy Rules = 245
 Graphical Techniques of Inference = 246
 Summary = 254
 References = 254
 Problems = 255
9. Fuzzy Nonlinear Simulation = 266
 Fuzzy Relational Equations = 268
 Partitioning = 272
 Nonlinear Simulation Using Fuzzy Rule-Based Systems = 275
 Fuzzy Associative Memories (FAMs) = 278
 Summary = 296
 References = 298
 Problems = 298
10. Fuzzy Decision Making = 313
 Fuzzy Synthetic Evaluation = 315
 Fuzzy Ordering = 317
 Preference and Consensus = 322
 Multiobjective Decision Making = 326
 Fuzzy Bayesian Decision Method = 331
 Decision Making under Fuzzy States and Fuzzy Actions = 341
 Summary = 353
 References = 353
 Problems = 354
 Synthetic Evaluation and Rank Ordering = 354
 Multiobjective Decision Making = 359
 Bayesian Decision Making = 362
 Fuzzy Preference and Consensus = 369
11. Fuzzy Classification = 371
 Classification by Equivalence Relations = 372
 Crisp Relations = 372
 Fuzzy Relations = 374
 Cluster Analysis = 379
 Cluster Validity = 379
 c-Means Clustering = 379
 Hard c-Means (HCM) = 380
 Fuzzy c-Means (FCM) = 388
 Classification Metric = 396
 Hardening the Fuzzy c-Partition = 398
 Similarity Relations from Clustering = 399
 Summary = 400
 References = 401
 Problems = 401
 Exercises for Equivalence Classification = 401
 Problems for Fuzzy c-Means = 402
12. Fuzzy Pattern Recognition = 411
 Feature Analysis = 413
 Partitions of the Feature Space = 413
 Single Sample Identification = 414
 Mulitifeature Pattern Recognition = 419
 Image Processing = 430
 Syntactic Recognition = 437
 Formal Grammar = 440
 Fuzzy Grammar and Syntactic Recognition = 441
 Summary = 447
 References = 447
 Problems = 447
 Exercises for Syntactic Pattern Recognition = 467
 Exercises for Image Processing = 467
13. Fuzzy Control Systems = 469
 Review of Control Systems Theory = 470
 System Identification Problem = 472
 Control System Design Problem = 472
 Control (Decision) Surface = 473
 Control System Design Stages = 474
 Assumptions in a Fuzzy Control System Design = 474
 Simple Fuzzy Logic Controllers = 475
 General Fuzzy Logic Controllers = 476
 Special Forms of Fuzzy Logic Control System Models = 477
 Examples of Fuzzy Control System Design = 478
 Classical Fuzzy Control Problem : Inverted Pendulum = 483
 Aircraft Landing Control Problem = 490
 Industrial Applications = 496
 Fuzzy Logic Control of Blood Pressure during Anesthesia = 497
 Fuzzy Logic Applications to Image-Processing Equipment = 500
 Customer Adaptive Fuzzy Control of Home Heating System = 504
 Adaptive Fuzzy Systems = 508
 Summary = 514
 References = 514
 Problems = 515
14. Miscellaneous Topics = 524
 Fuzzy Optimization = 524
 One-Dimensional Optimization = 525
 Fuzzy Maximum and Minimum = 530
 Inverse Fuzzy Relational Equations = 533
 Fuzzy Linear Regression = 539
 The Case of Nonfuzzy Data = 541
 The Case of Fuzzy Data = 542
 Summary = 551
 References = 551
 Problems = 552
 Fuzzy Optimization = 552
 Inverse Fuzzy Relational Equations = 553
 Regression = 553
15. Fuzzy Measures : Belief, Plausibility, Probability, and Possibility = 556
 Fuzzy Measures = 557
 Belief and Plausibility = 557
 Evidence Theory = 562
 Probability Measures = 565
 Possibility and Necessity Measures = 567
 Possibility Distribution as Fuzzy Sets = 577
 Epilogue = 579
 References = 584
 Problems = 584
 Index = 593


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