… All these works use affine arithmetic [20] as the underlying algebraic structure to keep
track of the rounding error. In this paper, we adopt a similar data structure, manifest in the …

… to minimize the range overestimation), the slope form [77] (where instead of inclusion of
derivatives, inclusion of slopes are used), or the affine form [22] (which uses affine arithmetic …

… The deployment of Taylor arithmetic and affine arithmetic and their impact on the quality
of the interval inclusions will be investigated in future work. The algorithm presented is an …

… Affine arithmetic (AA) is a preferable approach that takes into account the interdependency
among the signals [19], but ranges determined through AA explode during division if the …

… In the fourth column of Table 1, we give the results of Fluctuat in its affine arithmetic based …
and errors, that combine interval and affine arithmetic based estimates with SMT. We included …

… The affine arithmetic could avoid situations where intervals … Therefore, the interval power
flow method based on affine arithmetic is … based on the affine arithmetic is described as follows: …

… There are various rigorous static analysis approaches that use interval and affine arithmetic
[19] or Taylor series approximations to analyze stability and to provide rigorous bounds on …

… Their work on representing affine arithmetic fall into similar category of our work. But
again, the kind of problems and properties are quite different. …

… generation through affine arithmetic [27], [28] in our approach. In affine arithmetic, the interval
of … Affine arithmetic has been shown to provide better bounds than the standard interval …

This paper present a novel approach using symmetric fuzzy numbers to deal with uncertainty
in power system analysis. Special attention is put on reducing overestimation due to …