… Section 5.4 presents some improvements and proposals to affine arithmetic. Section 5.5
present the concept of an inclusion representation. A summary of our contributions in this …

… To limit the conservatism due to the dependency phenomenon, the so-called generalized
interval analysis [13] and the affine arithmetic [14] have been introduced in the literature. …

… This framework supports the efficient integration of information from edges and other cues
using the machinery of affine arithmetic and the propagation of uncertainties. They present …

… The methods based on affine arithmetic integrate well with the well-known Karhunen-Loève
expansion method, allowing for the application of a globally defined homogeneous auto-…

… For instance, Fluctuat [10, 11] is an abstract interpreter that combines affine arithmetic
and zonotopes to analyze the robustness of programs over the floats, FPTaylor [23, 24] uses …

… Another recent approach relies on a variant of interval and revised affine arithmetic, such as
… using extended revised affine arithmetic. Computers & Graphics 34, 6 (2010), 708–718. 2, 3 …

… A method based on affine arithmetic is proposed, which is used for voltage stability
assessment of power systems considering intermittent generation sources.9 By using scalable …

… Affine arithmetic is modification of interval arithmetic which is able to track dependences
between input, intermediate and output intervals. In many real-life applications (eg optimization, …

This paper introduces a unique simulation framework for testing and validating multiple
operation issues of grid connected microgrids. The framework is widely adjustable and enables …

… Another approach to model interval fields is via an affine arithmetic representation of the
interval uncertainty in combination with the Karhunen-Loeve expansion by Sofi et al. [9]. Also, …