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| Авторизация |
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| Поиск по указателям |
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| Wolkenhauser O. — Data Engineering: Fuzzy Mathematics in Systems Theory and Data Analysis |
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| Предметный указатель |
Fuzzy restriction 113 134 136 198—199 211
Fuzzy set 34
Gain 67
Gaussian kernel 175
Gaussian kernel, multi-dimensional 175
Graph 70 235
Graph, fuzzy 82 105—106 138 163 204 226
Groupoid 107
Groupoid, associative 107
histogram 75 209 212
Identification 70 73
Identification, fuzzy-system 82 85
Image 235
Image, direct 235
Image, inverse 131 235
Image, measure 241
Implication 118
Implication, Dienes — Rescher 157
Implication, fuzzy 157 221
Implication, Godel 158
Implication, Lukasiewicz 158
Implication, material 154
Implication, product 158
Implication, Zadeh 158
Indistinguishability 145 147
Induction 74 225
Inequality, Menger’s 149 152
Inequality, triangle 94
Inequality, ultrametric 149
Inference engine, Dienes — Rescher 165 170
Inference engine, fuzzy 104 163 187 221
Inference engine, fuzzy, composition-based 162 220
Inference engine, Lukasiewicz 165 170
Inference engine, minimum 164 168
Inference engine, product 164 167—169
Inference engine, singleton input 166
Inference engine, Takagi-Sugeno 222
Inference engine, Zadeh 165
Inference, composition-based 162 170 221
Inference, individual-rule-based 163—165 169 203 221
Inference, subjective 246
Inference, two-step 74
Innovation 39
Integral commutative complete lattice monoid 107
Integral, Fourier 50
Integral, fuzzy 34 243
Integral, Lebesgue 35 243
Integral, Lebesgue — Stieltjes 243
Integral, Riemann 34 242
Integral, Sugeno 34 243
Label 88
Lagrange multipliers 90 98
Lagrangian 90
Lattice 106—107 154 233
Lattice, Boolean 107
Lattice, bounded 107
Lattice, complemented 107
Lattice, complete 107
Lattice, distributive 106—107 201
Law of non-contradiction 206
Law of the excluded middle 156 198 206
Learning 70 73
Learning, predictive 73—74
Learning, unsupervised 85 124
Least-squares criterion 31 36—37 42 46 90 126
Least-squares polynomial 47
Least-squares principle 215
Least-squares problem 49 126
Least-squares solution 36 50 83 89 117
Level 199
Linear composite 96—97
Linguistic term 183
Linkage 6 17
Linkage, partial 8—10
Linkage, total 7 9
Linked, totally 7
Local connectivity criterion 239
Logic, bivalent 108 227
Logic, Boolean (two-valued) 155
Logic, fuzzy 106 154 206
Logic, fuzzy, propositional 108
Logic, intuistic 107
Logic, Lukasiewicz 107 186
Logic, probabilistic 154
Logic, probability 186
Logic, two-valued 154
Logic, Zadeh 185 188
Map, inverse 131
Map, multi-valued 132
Map, multi-valued, observable 220
Map, natural 87
Map, point-valued 130
Mapping 235
Mapping, bijective 107
Mapping, composite 159
Mapping, fuzzy 203 219
Markov chain 17
Markov chain, discrete-time 18
Matrix, autocorrelation 59
Matrix, correlation 59
Matrix, covariance 58—59 62 65 80 82 96 99—100 175
Matrix, covariance, cluster 110 121
Matrix, covariance, sample 88 100
Matrix, data 85—86
Matrix, gain 64
Matrix, norm-inducing 111 121
Matrix, partition 85—86 92 102 177 219
Matrix, partition, fuzzy 82 108—109 112
Matrix, partition, initial 110 123
Matrix, proximity 239
Matrix, regressor 117
Matrix, relation 239
Matrix, relation, similarity 239
Matrix, state-transition 22
Matrix, system 25 98
Matrix, transformation 97 99
Matrix, transition 25 65
Matrix, weighting 117
Maximum Likelihood Estimation 31
Mean 32—33 36 41 45 54 56 58 75 80 125 167 245
Mean, sample 33 57 88 100
Measurability 130
Measure 241
Measure, distance 102
Measure, fuzzy 31 34—35 243 245
Measure, Lebesgue 241
Measure, necessity 207—208
Measure, possibility 35 134 207 215
Measure, probability 31 34—35 74 131—132 207 215
Measure, proximity 85 147 211
Metric 146
Metric, pseudo- 150 219
Metric, ultra- 151
Model, abstract 33
Model, ARMA 55
Model, ARX 71
Model, autoregressive 37 71 136 220
Model, basis function expansion 109
Model, c-regression 124 218
Model, canonical 14
Model, conjunctive 219
Model, continuous-time 25
Model, dynamic 53 62
Model, formal 1—3 17 70 148 151 214 225
Model, fuzzy 36 78 82 109 136 141 203 219
Model, fuzzy-c-regression 124 126
Model, global 14 24
Model, input-output 24 37
Model, internal 13—15 24
Model, Klawonn’s similarity-based 220
| Model, linear 31
Model, linear parametric 44
Model, Linguistic 82 113—114 116 222
Model, linguistic conjunctive 162 220
Model, mixture density 52 125
Model, NARX 71 112
Model, nonlinear 82
Model, piecewise-linear 144
Model, prediction 136 220
Model, probabilistic 100 216
Model, quantitative 168
Model, quasi-linear 116
Model, random-set 135—136 141 144 220
Model, regression 3 37 72 124 126
Model, regression, linear 78
Model, regression, multiple 82
Model, regression, switching 82 124 218
Model, Relational 82
Model, rule-based 82 109
Model, singleton 117
Model, state-space 15 24
Model, state-space, continuous-time 25
Model, state-space, discrete-time 25
Model, Takagi-Sugeno 82 113—114 116 118 222
Model, Takagi-Sugeno, affine linear 113
Model, Takagi-Sugeno, conjunctive 118
Model, theoretical 33
Model, time-series 41
Model, uncertainty 138
Model, uncertainty, local 24 129 135—136 139 144
Modelling, fuzzy 104 108
Modelling, fuzzy random set 139
Modelling, localized 74
Modelling, NARX 108
Modelling, probabilistic 75
Modelling, uncertainty 84
Monoid 107
Moore — Penrose pseudoinverse 40
Multi-variate 135
Multi-variate adaptive regression splines 116
Network, neurofuzzy spline 117
Network, Radial Basis Function 78 116 217
Non-interactivity 201
Norm, Euclidean 57 88 110
Norm, inner-product 88 111 121
Norm, Lukasiewicz 94 149
Norm, Mahalonobis 88 96
Norm, triangular (t-) 93—94 107 112 124 149 152
Object 70 85 88 93 99 108 123
Observability 24
Observable 1 4—5 10—11 20 70 136
Optimality 65 182
Orbit 16
Ordered pair 3 12 70 197 233
Ordered triple 13
Orthogonality 31 43 48—49 61—62
Outcome, elementary 241
Paradox, barber 205
Paradox, liar 205
Paradox, Poincare 94 124 145 147 150
PARAMETER 11
Parsimony 96
Partition 7 86 232—233
Partition, crisp-c- 125
Partition, fuzzy 83 89 95 106 206 209 211
Partition, fuzzy-e- 124
Partition, hard-c- 87 89
Partition, nested 239
Parzen window 174
Pattern recognition 85 123
Phase-plane 186 195
Plausibility 132
Point, crisp 106
Point, fuzzy 105—106
Population 247
Possibility 35 155 197
PRECISION 152
Prediction, localized 74
Prediction, single-valued 138
Predictor 71
Premise 118—119
Principal component analysis 96
probability 32 35 79 197
Probability, conditional 41
Probability, joint 148
Probability, lower 132
Probability, posterior 125 174—175
Probability, prior 174
Probability, subjective 132 154
Probability, upper 132
Process, autoregressive 111
Process, discrete-time 54
Process, dynamic 1
Process, ergodic 81
Process, non-stationary 139
Process, nonlinear 139
Process, stationary 56
Process, stochastic 15 27 31 53—55
Process, stochastic, independent Gaussian vector-valued 62
Process, stochastic, orthogonal 58
Process, stochastic, uncorrelated 57
Process, white noise 55
Proposition 157
Proposition, antecedent 113
Proposition, atomic 155
Proposition, consequent 114
Proposition, logical 148 153
Proposition, primitive 154
Prototype 93 121 126
Prototype, duster 86 91 102 105 121
Pullback 202
Quantifier 155 225
Quotient 106 108
Quotient, fuzzy 93 106 108
Random noise 72
RANGE 235
Reachability 24
Reasoning, approximate 106 108 138 145 155 157 204 219
Reasoning, inductive 2
Reasoning, qualitative 168
Reasoning, similarity-based 104
Reasoning, statistical 246
Reflexivity 93
Regressand 36 82
Regression 73
Regression line 41—42 44—45 96
Regression surface 41
Regression vector 36
Regression, linear 216
Regression, linear parametric 37—38 69 71 73
Regressor 82 113 121
Regressor, orthogonal 42
Regressors 36
Relation 154 233
Relation, asymmetrical 108
Relation, binary 200 239
Relation, compatibility 200
Relation, crisp 146
Relation, entailment 227
Relation, equivalence 5 7 10 84 92—93 108 145—146 234 236
Relation, equivalence, crisp 219
Relation, equivalence, fuzzy 92 107 149 152
Relation, equivalence, hard 89
Relation, equivalence, reflexive 86
Relation, equivalence, symmetric 86
Relation, equivalence, transitive 86 219
Relation, formal 151
Relation, fuzzy 82 108 123 145 148 150 152 157 159 163 168 200 204 219
Relation, fuzzy, reflexive 149
Relation, fuzzy, symmetric 149
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