.

0 (hodnocen0 x )

(4) Půjčeno:4x 

BK

3rd ed.

Chichester : John Wiley & Sons, c2010

xxi, 585 s. : il. ; 25 cm

ISBN 978-0-470-74376-8 (brož.)

Obsahuje bibliografické odkazy a rejstřík

000194736

CONTENTS // About the Author xiii // Preface to the Third Edition xv // 1 Introduction 1 // The Case for Imprecision 2 // A Historical Perspective 3 // The Utility of Fuzzy Systems 6 // Limitations of Fuzzy Systems 8 // The Illusion: Ignoring Uncertainty and Accuracy 10 // Uncertainty and Information 13 // The Unknown 14 // Fuzzy Sets and Membership 14 // Chance Versus Fuzziness 16 // Sets as Points in Hypercubes 18 // Summary 20 // References 20 // Problems 21 // 2 Classical Sets and Fuzzy Sets 25 // Classical Sets 26 // Operations on Classical Sets 28 // Properties of Classical (Crisp) Sets 29 // Mapping of Classical Sets to Functions 32 // Fuzzy Sets 34 // Fuzzy Set Operations 35 // Properties of Fuzzy Sets 37 // Alternative Fuzzy Set Operations 40 // Summary 41 // References 42 // Problems 42 // 3 Classical Relations and Fuzzy Relations 48 // Cartesian Product 49 // Crisp Relations 49 // Cardinality of Crisp Relations 51 // Operations on Crisp Relations 52 // Properties of Crisp Relations 52 // Composition 53 // Fuzzy Relations 54 // Cardinality of Fuzzy Relations 55 // Operations on Fuzzy Relations 55 // Properties of Fuzzy Relations 55 // Fuzzy Cartesian Product and Composition 55 // Tolerance and Equivalence Relations 62 // Crisp Equivalence Relation 63 // Crisp Tolerance Relation 64 // Fuzzy Tolerance and Equivalence Relations 65 // Value Assignments 68 // Cosine Amplitude 69 // Max-Min Method 71 // Other Similarity Methods 71 // Other Forms of the Composition Operation 72

// Summary 72 // References 73 // Problems 73 // 4 Properties of Membership Functions, Fuzzification, // and Defuzzification 89 // Features of the Membership Function 90 // Various Forms 92 // Fuzzification 93 // Defuzzification to Crisp Sets 95 // Ŕ-Cuts for Fuzzy Relations 97 // Defuzzification to Scalars 98 // Summary 110 // References 111 // Problems 112 // 5 Logic and Fuzzy Systems 117 // Part I Logic 117 // Classical Logic 118 // Proof 124 // Fuzzy Logic 131 // Approximate Reasoning 134 // Other Forms of the Implication Operation 138 // Part II Fuzzy Systems 139 // Natural Language 140 // Linguistic Hedges 142 // Fuzzy (Rule-Based) Systems 145 // Graphical Techniques of Inference 148 // Summary 159 // References 161 // Problems 162 // 6 Development of Membership Functions 174 // Membership Value Assignments 175 // Intuition 175 // Inference 176 // Rank Ordering 178 // Neural Networks 179 // Genetic Algorithms 189 // Inductive Reasoning 199 // Summary 206 // References 206 // Problems 207 // 7 Automated Methods for Fuzzy Systems 211 // Definitions 212 // Batch Least Squares Algorithm 215 // Recursive Least Squares Algorithm 219 // Gradient Method 222 // Clustering Method 227 // Learning From Examples 229 // Modified Learning From Examples 233 // Summary 242 // References 242 // Problems 243 // 8 Fuzzy Systems Simulation 245 // Fuzzy Relational Equations 250 // Nonlinear Simulation Using Fuzzy Systems 251 // Fuzzy Associative Memories (FAMS) 255 // Summary 264 // References 265

// Problems 266 // 9 Decision Making with Fuzzy Information 276 // Fuzzy Synthetic Evaluation 278 // Fuzzy Ordering 280 // Nontransitive Ranking 283 // Preference and Consensus 285 // Multiobjective Decision Making 289 // Fuzzy Bayesian Decision Method 294 // Decision Making Under Fuzzy States and Fuzzy Actions 304 // Summary 317 // References 318 // Problems 319 // 10 Fuzzy Classification 332 // Classification by Equivalence Relations 333 // Crisp Relations 333 // Fuzzy Relations 335 // Cluster Analysis 339 // Cluster Validity 340 // c-Means Clustering 340 // Hard c-Means (HCM) 341 // Fuzzy c-Means (FCM) 349 // Fuzzy c-Means Algorithm 352 // Classification Metric 357 // Hardening the Fuzzy c-Partition 360 // Similarity Relations from Clustering 361 // Summary 362 // References 362 // Problems 363 // 11 Fuzzy Pattern Recognition 369 // Feature Analysis 370 // Partitions of the Feature Space 371 // Single-Sample Identification 371 // Multifeature Pattern Recognition 378 // Image Processing 390 // Summary 398 // References 399 // Problems 400 // 12 Fuzzy Arithmetic and the Extension Principle 408 // Extension Principle 408 // Crisp Functions, Mapping, and Relations 409 // Functions of Fuzzy Sets - Extension Principle 411 // Fuzzy Transform (Mapping) 411 // Practical Considerations 413 // Fuzzy Arithmetic 418 // Interval Analysis in Arithmetic 420 // Approximate Methods of Extension 422 // Vertex Method 423 // DSW Algorithm 426 // Restricted DSW Algorithm 428 // Comparisons 429

Summary 432 // References 433 // Problems 433 // 13 Fuzzy Control Systems 437 // Control System Design Problem 439 // Control (Decision) Surface 440 // Assumptions in a Fuzzy Control System Design 441 // Simple Fuzzy Logic Controllers 441 // Examples of Fuzzy Control System Design 442 // Aircraft Landing Control Problem 446 // Fuzzy Engineering Process Control 453 // Classical Feedback Control 453 // Fuzzy Control 457 // Fuzzy Statistical Process Control 464 // Measurement Data - Traditional SPC 466 // Attribute Data - Traditional SPC 472 // Industrial Applications 478 // Summary 479 // References 482 // Problems 484 // 14 Miscellaneous Topics 501 // Fuzzy Optimization 501 // One-Dimensional Optimization 502 // Fuzzy Cognitive Mapping 508 // Concept Variables and Causal Relations 508 // Fuzzy Cognitive Maps 510 // Agent-Based Models 520 // Summary 524 // References 525 // Problems 526 // 15 Monotone Measures: Belief, Plausibility, Probability, // and Possibility 530 // Monotone Measures 531 // Belief and Plausibility 532 // Evidence Theory 537 // Probability Measures 540 // Possibility and Necessity Measures 542 // Possibility Distributions as Fuzzy Sets 549 // Possibility Distributions Derived from Empirical Intervals 551 // Deriving Possibility Distributions from Overlapping Intervals 552 // Redistributing Weight from Nonconsonant to Consonant Intervals 554 // Comparison of Possibility Theory and Probability Theory 568 // Summary 569 // References 571 // Problems 572 // Index

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