… The DSM load variations were modeled using affine arithmetic in this work, with the
objective of using it to correct the load forecast. An interval for the possible load variation was …

… The main drawbacks of affine arithmetic are that it taxes … affine arithmetic with dynamically
managed sparse vectors runs slowly at best. The goal of this thesis is to map affine arithmetic …

… Abstract—This work presents a three-phase mathematical model based on Affine Arithmetic
… the Unit Commitment problem based on Affine Arithmetic, and the second problem is a non-…

浮動小数点数など有限桁の数値を用いる数値計算において, 計算を行うと同時にその結果の誤差
評価をも同時に計算するような方法を総称して精度保証付き数値計算と呼び, 近年急速な進歩を遂げ…

… In this paper, we focus on the affine arithmetic method, which provides a conservative … This
paper provides an overview of the affine arithmetic as well as its application to the frequency …

Fuzzy numbers and their arithmetic are a very powerful tool to handle uncertain parameters.
By adopting the a-cut technique, fuzzy numbers can be parameterized and transformed into …

For pt.I see ibid., p.133-9 (1998). In this paper a new approach to the calculation of the true
worst-case in circuit tolerance analysis (TWC-CTA) based on affine arithmetic is presented. …

One major cause of the error explosion is the overestimation of a non-affine function introducing
a new noise symbol term with non-minimum coefficient. This paper proposes theorems …

… In this paper, affine arithmetic is used to reduce the conservatism, which is a shortcoming
of interval arithmetic, and a Newton-Raphson harmonic current iterative equation is …

… One type of range arithmetic is the affine arithmetic, which allows to maintain linear correlations
to avoid over-approximation. An equation solver based on affine arithmetic has been pro…