| Introduction | p. 1 |
| Scientific Background for the Appearance of Grey Systems Theory | p. 1 |
| Fundamental Concepts and Principles of Grey Systems | p. 3 |
| Fundational Concepts of Grey Systems | p. 3 |
| Fundamental Principles of Grey Systems | p. 5 |
| Comparison Between Several Nondeterministic Methods | p. 7 |
| Main Contents in Grey Systems Theory | p. 8 |
| Role of Grey Systems Theory in the Development of Science | p. 10 |
| Positions of Grey Systems Theory in the Spectrum of Interdisciplinary Sciences | p. 11 |
| Grey Systems in the Content of Uncertain Information | p. 13 |
| Grey Uncertainties | p. 15 |
| Stochastic Uncertainty | p. 15 |
| Unascertainty | p. 16 |
| Fuzzy Uncertainty | p. 17 |
| Rough Uncertainty | p. 17 |
| Soros Reflexive Uncertainty | p. 20 |
| Grey Numbers and Their Operations | p. 23 |
| Grey Numbers | p. 23 |
| Whitenization of Grey Numbers and Degree of Greyness | p. 26 |
| Operations of Interval Grey Numbers | p. 30 |
| Measures of Grey Numbers | p. 33 |
| Information Content of Grey Numbers | p. 38 |
| Grey Equations and Grey Matrices | p. 45 |
| Grey Algebraic Equations and Grey Differential Equations | p. 45 |
| Grey Matrices and Their Operations | p. 46 |
| Several Special Grey Matrices | p. 50 |
| Singularities of Grey Matrices | p. 52 |
| Grey Characteristic Values and Vectors | p. 54 |
| Generation of Grey Sequences | p. 57 |
| Introduction | p. 57 |
| Generation Based on Average | p. 59 |
| Operators of Sequences | p. 61 |
| Smooth Sequences | p. 70 |
| Stepwise and Smooth Ratios | p. 73 |
| Accumulating and Inverse Accumulating Generation Operators | p. 75 |
| Randomness of Sequences of Accumulating Generations | p. 79 |
| Grey Exponentiality of Accumulating Generations | p. 81 |
| Grey Incidence Analysis | p. 85 |
| Introduction | p. 85 |
| Grey Incidence Factors and Set of Grey Incidence Operators | p. 87 |
| Metric Spaces | p. 90 |
| Degrees of Grey Incidences | p. 93 |
| Absolute Degree of Grey Incidence | p. 101 |
| Relative Degree of Grey Incidence | p. 113 |
| Synthetic Degree of Grey Incidence | p. 117 |
| Order of Grey Incidences | p. 118 |
| Preference Analysis | p. 120 |
| Practical Applications | p. 132 |
| Grey Clusters and Grey Statistical Evaluations | p. 139 |
| Introduction | p. 139 |
| Clusters of Grey Incidences | p. 140 |
| Clusters with Variable Weights | p. 144 |
| Clusters with Fixed Weights | p. 153 |
| Grey Evaluation Based on Triangular Whitenization Functions | p. 162 |
| Grey Statistics | p. 164 |
| Entropy of Coefficient Vector of Grey Evaluations | p. 169 |
| Practical Examples | p. 174 |
| Grey Systems Modeling | p. 191 |
| The Thought of Five-Step-Modeling | p. 191 |
| Grey Differential Equations | p. 194 |
| Model: GM(1,1) | p. 197 |
| Model: Remnant GM(1,1) | p. 217 |
| Model Group of GM(1,1) Type | p. 222 |
| GM(1,N) and GM(0,N) | p. 228 |
| GM(2,1) and Verhulst Model | p. 235 |
| Grey Combined Models | p. 245 |
| Econometric Models | p. 246 |
| Choice of Variables to Be Used in Modeling | p. 246 |
| Econometric Models | p. 247 |
| Cobb-Douglas Model | p. 254 |
| Markov Model | p. 258 |
| Grey Moving Probability Markov Model | p. 258 |
| Grey State Markov Model | p. 260 |
| Combined Time Series Model | p. 262 |
| Combined Predictions | p. 265 |
| The Combined Prediction Model | p. 266 |
| Combined Predictions with Changing Structure | p. 267 |
| Combined Predictions with Fixed Structure | p. 268 |
| Grey Prediction | p. 275 |
| Test of Grey Prediction Models | p. 275 |
| Predictions of Sequences | p. 277 |
| Interval Predictions | p. 281 |
| Disaster Predictions | p. 289 |
| Seasonal Disaster Predictions | p. 293 |
| Stock-Market-Like Predictions | p. 299 |
| Systems Predictions | p. 305 |
| Practical Applications | p. 311 |
| Grey Decisions | p. 315 |
| Introduction | p. 315 |
| Grey Target Decisions | p. 318 |
| Grey Incidence Decisions | p. 325 |
| Grey Development Decisions | p. 336 |
| Grey Statistical Decisions | p. 341 |
| Grey Cluster Decisions | p. 347 |
| Multiple-Target-Situation Decisions with a Synthesized Target | p. 351 |
| Grey Stratified Decisions | p. 358 |
| Grey Programming | p. 367 |
| Introduction | p. 367 |
| Linear Programming Models with Grey Parameters | p. 369 |
| Grey Linear Programming of Prediction Type | p. 373 |
| Several Theorems on Positioned Solutions of LPGP | p. 377 |
| Satisfactory Solutions of Grey Linear Programming | p. 382 |
| Quasi-Optimal Solutions of Grey Linear Programming | p. 389 |
| Grey 0-1 Programming | p. 395 |
| Grey Nonlinear Programming Without Constraints | p. 404 |
| Grey Nonlinear Programming with Constraints | p. 407 |
| Grey Input and Output | p. 415 |
| Basic Concepts for Grey Input and Output | p. 415 |
| P-F Theorems of Grey Non-Negative Matrices | p. 418 |
| Responsibility and Influence Coefficients | p. 424 |
| Grey Responsibility and Influence Coefficients | p. 424 |
| Other Related Coefficients | p. 427 |
| Optimal Input-Output Models | p. 428 |
| Dynamic Input-Output Models | p. 434 |
| Dynamic Comprehensively Balanced Model | p. 434 |
| Optimal Dynamic Input-Output Model | p. 435 |
| Von Neumann Model | p. 437 |
| Practical Applications | p. 438 |
| Grey Control | p. 445 |
| Introduction | p. 445 |
| Grey Linear Control Systems | p. 448 |
| Grey Transfer Functions and Special Links | p. 452 |
| Matrices of Grey Transfer Functions | p. 457 |
| Control with Abandonment | p. 459 |
| Control of Grey Incidences | p. 460 |
| Control of Grey Predictions | p. 461 |
| Practical Applications | p. 463 |
| References | p. 471 |
| Index | p. 501 |
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