… He proposes to use affine arithmetic, as earlier proposed by Comba and Stolfi [30], which
is a more versatile extension of interval arithmetic. Affine arithmetic allows for keeping track of …

… The fundamental invariant of affine arithmetic [16] states that, at any instant between affine
arithmetic operations, there is a single assignment of values from [-1, 1] to each of the noise …

… Another method in this class is affine arithmetic, a linear polynomial whose terms are … Only
affine arithmetic accounts for these correlations. To achieve this, uncertainty considerations …

… In recent years for the solving of the probabilistic power flow problem, the use of affine
arithmetic apparatus has been proposed [16]. In accordance with affine - arithmetic simulation, the …

… circuits for renewable energy sources; methods for analysis, design and optimization of
switching converters; tolerance analysis by means of interval arithmetic, affine arithmetic, and …

… or the affine arithmetic are in Refs. [4], [13], [14]. In Ref. … [13], an affine arithmetic method is
proposed for self-validated … linear approximation of the affine arithmetic power flow model and …

Composite structures exhibit significant spatial variabilities in their response due to the
variations in the individual lamina properties. Considering the difficulty of obtaining accurate …

… However, with the use of affine arithmetic (AA) [18], the nonlinear case can be reduced to the
… Additionally, an affine-arithmetic-based approach to dealing with parametric interval linear …

… interval arithmetic (IA) operations with corresponding affine arithmetic (AA) operations (eg,
[16]) (… the interval arithmetic (IA) operations in method MI by affine arithmetic (AA) operations. …

… [21] combined the interval perturbation analysis, the affine arithmetic, and the SEA to calculate
the high-frequency energy response of vibro-acoustic systems with interval parameters. …