- a
- Activation function 2, 52
- Affine arithmetic 220, 222, 229
- Affine‐contractor 215–217
- Algebraic system of aggregates (ASA) 63, 64
- Artificial intelligence 1, 33, 50, 186, 253, 391, 392, 395, 397–401, 408
- Artificial neural network 1, 50
- automl 27
- Autonomous car 402, 405
- Autonomous systems 400
- b
- Backpropagation algorithm 56
- Basis functions 278
- Bernstein polynomials 291
- Bessel polynomials 292
- Boubaker polynomials 292
- Boundary value problem 7
- Brain activity reconstruction 343
- c
- Carcinom dataset 429
- Canonical coordinates 254
- Cartesian power 171
- Chebyshev polynomials 289, 290, 349
- Classic integral quadrature methods 314
- Classical interval 174, 217
- Classic orthogonal polynomials 282
- Colon‐cancer dataset 429
- Contractor 223, 229–231, 235
- d
- Data synchronization 75
- Decision systems 154
- Deep learning 23, 39, 49, 408
- Dependency problem 174
- Differential equation 4
- Differential quadrature 273–275, 277, 297
- Differential transform method (DTM) 241
- Diffusion problems 99
- Digital intervals 72
- Discernibility matrix‐based approaches 154
- Disease transmission potential 376
- Douglas–Rachford splitting algorithm 416
- Dynamic behavior 239, 242
- e
- Electrostatic field 258, 260
- Emotional speech databases 33
- Epidemiological isolation 380
- Euler–Bernoulli nanobeam 240
- f
- Finite difference 102
- Finite element 102
- Fluid dynamic problems 125
- Forward–backward algorithm 416
- Fractional order differential equations 115
- Fredholm integral equation 5, 6, 9
- Functional dependence 184
- Function link neural network 1, 3
- Fuzzy arithmetic 100
- Fuzzy implicator 148
- Fuzzy Laplace transform 118
- Fuzzy number 100, 126
- Fuzzy rough set 145, 146, 149, 155–157, 159
- Fuzzy set 126
- Fuzzy synchronization 92
- Fuzzy triangular norm 148
- Fuzzy‐valued functions 116
- g
- Gaussian mixture model 37
- Gegenbauer polynomials 288
- Generalized integral quadrature 310
- Generalized Taylor‐based integral quadrature 312
- Genetic algorithm 1
- Genetics 23
- Grid distributions 293
- Goal programming 384
- h
- Heat transfer problem 104
- High‐risk population 381
- Homotopy perturbation method 125, 126, 129, 130
- Hukuhara derivative 116
- Hyperbolic tangent activation function 53
- i
- Image and preimage of arelation 171
- Inertial Douglas–Rachford splitting algorithm 421
- Inertial methods 418
- Inertial proximal point algorithm 419
- Infectious diseases 369
- Infinitesimal transformation 254
- Initial value problem 6
- Integral equation 5, 16
- Integral quadrature 273, 316
- Interval arithmetic 99
- Interval computations 169
- Interval dependency 176, 179, 181
- Interval dependency problem 176, 219, 220, 222
- Interval enclosures 184
- Interval subdivision 185
- l
- Laguerre neural network 7, 8
- Lagrange polynomials 281
- Lane‐Emden equation 12
- Legendre polynomials 289
- Lie symmetry 255
- Lobatto polynomials 289
- Logistic sigmoid activation function 52
- m
- Markov model 36
- Microcantilever beam 258, 260, 266, 268
- Monotone inclusion problems 413
- o
- One‐parameter groups 254
- Ordinal tuple 170
- p
- Parametric approach 127
- Parametric intervals 186–188
- Parametric representation of fuzzy number 101
- Partial and total operations 172
- Pock and Lorenz's variable metric forward–backward algorithm 422
- Proximal point algorithm 415
- q
- Quantification dependence 177
- r
- Radon diffusion 105, 107, 108, 111
- Rectified linear unit activation function 54
- Regression problem 429
- Resource allocation 369
- Risk minimization 379
- Robotics 393
- s
- Set inversion via interval analysis (SIVIA) 216, 223–225, 229, 230
- S‐field algebra 201
- Sigmoidal function 3
- Small‐scale parameter 245–248
- Speech emotion recognition 33
- Splitting algorithms 415
- Splitting inertial proximal point algorithm 421
- Support vector machine 1, 38
- t
- Taylor‐based integral quadrature 320
- Transmission dynamics 371
- Trigonometric Lagrange polynomials 282
- w
- Weighted residual methods 346
- Whitham–Broer–Kaup equations 134
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