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                    | Wolkenhauser O. — Data Engineering: Fuzzy Mathematics in Systems Theory and Data Analysis |  
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                    | Предметный указатель |  
                    | | Relation, fuzzy, transitive      149 Relation, inclusion      154
 Relation, linkage      10 19
 Relation, non-reflexive      108
 Relation, non-transitive      124
 Relation, similarity      92—93 104—106 124 149 219—220
 Relation, single-valued      235
 Relation, transitive      148—149 151
 Representation theorem      199
 Residual      38 41 63
 Risk, empirical      74 216
 Risk, estimated      73
 Risk, expected      81
 Robustness      182
 Rule consequents      113
 Scatter diagram      45
 Semi-group      107
 SEQUENCE      232
 Sequence, normalized sample covariance      57
 Sequence, sample autocorrelation      57
 Sequence, sample autocovariance      57
 Sequence, uncorrelated      57
 Set      231
 Set, countable      232
 Set, crisp      93 201 244
 Set, denumerable      232
 Set, factor      87
 Set, finite      232
 Set, fully overlapping      211
 Set, fuzzy      35 82 93 105 112 135 156—157 162 166 175 198—200 206 211 219 228
 Set, fuzzy, antecedent      118 121 185 222
 Set, fuzzy, discrete      115
 Set, fuzzy, extensional      93 105
 Set, fuzzy, multi-dimensional      113—114
 Set, fuzzy, normalized      167
 Set, fuzzy, piecewise-linear (triangular)      183
 Set, fuzzy, triangular      211
 Set, fuzzy, two-dimensional      113
 Set, fuzzy, unimodal      113
 Set, fuzzy, univariate      113
 Set, image      235
 Set, index      232
 Set, infinite      232
 Set, infinite, countably      232
 Set, level      199
 Set, partially ordered      107
 Set, partially ordered (poset)      147
 Set, power      201
 Set, quotient      5—6 9—10 87 108 150 235
 Set, random      129 132
 Set, state      6
 Similarity      107
 Singleton      116 165
 Space, antecedent      113—114
 Space, cluster      85
 Space, event      34
 Space, hard partitioning      87
 Space, hypermeasurable      133
 Space, measurable      241
 Space, measure      241
 Space, measure, fuzzy      245
 Space, metric      148
 Space, metric, bounded      149
 Space, metric, probabilistic      148—149
 Space, orthogonal      63
 Space, partition      90 218
 Space, partition, fuzzy      89 218
 Space, phase      10
 Space, probabilistic      94 124
 Space, probability      34 133 241—242
 Space, product      141
 Space, regressor      36
 Space, sample      34
 Space, state      5 10 15
 Stability      182
 Standard deviation      33 45 59 125
 State      1 3—5 17—18 20 25
 State, abstract      4—5 10 16 69 136 220
 State-transition      18
 State-vector      14 24
 Statement, compound      157
 
 | Statement, conditional      154 166 Statement, conditional, independent      162
 Statement, conditional, strongly coupled      162
 Statement, implicative      154
 Statement, logical      166
 Static approximation problem      139
 Stationarity      56—57 81
 Stationarity, second order      56
 Stationarity, strict      81
 Stationarity, weak      56
 Statistics, point-valued      134
 Statistics, set-valued      134
 Symmetry      93
 System, abstract      107
 System, anticipatory      17
 System, autoregressive, nonlinear      140
 System, deterministic      20 56
 System, distributed      21
 System, dynamic      1 15 21 62 98 108 135
 System, dynamic, continuous-time      25
 System, dynamic, discrete-time      26
 System, dynamical      15
 System, dynamical, discrete-event      18
 System, dynamical, discrete-time      18 24
 System, fuzzy      84 106 109 138 161 163 166 168 173 202 213 222
 System, piecewise-linear      195
 System, polytopic      116
 System, propositional logical      106 108
 System, rule-based      82 106 112 116 129 168 198 206 228
 System, sampled-data      249
 System, spatial      21
 System, stochastic      56
 Test of significance      246—247
 Theory, category      202
 Theory, estimation      247
 Theory, evidence      132
 Theory, Markov decision      18
 Theory, measure      243
 Theory, possibility      32 75
 Theory, probability      32
 Theory, sampling      247
 Theory, statistical decision      174 247
 Theory, statistical learning      73—75 216—217
 Theory, systems      1 214
 Time domain      50
 Time-series      53
 Time-series, Mackey — Glass      120
 Trajectory      16 22 192
 Transform, Fourier      50 250
 Transform, integral      50
 Transform, Laplace      30 50 251
 Transformation      15 235
 Transformation, bijective      35
 Transformation, integral      248
 Transition map      13
 Transitivity      93 107 124 145—146 149—152 219
 Truth value      106—107 153—154 156—157 206
 Unbiasedness      245
 Uncertainty      74 84 138 148—149 152 156 197 213 247
 Uncorrelatedness      66
 Universe of discourse      157 183 199
 Unlinked, totally      7—8
 Variability      214
 Variable, antecedent      113
 Variable, consequent      113
 Variable, endogenous      71
 Variable, exogenous      71
 Variable, fuzzy      113 157
 Variable, random      15 32 54 57 59 131 241
 Variable, random, binomially distributed      75
 Variable, random, identically distributed      41 81
 Variable, random, independent      41 81
 Variable, random, t-dependent      54
 Variable, random, uncorrelated      55
 Variable, regressor      85 113
 Variable, state      10 19—20 25
 Variance      33 54 56 58—59 75 97 245
 Variance, sample      33 38
 Variance, within-cluster      88 218
 Variance, within-cluster-overall      218
 White noise      55 62
 
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