一个新间隔算术方法被建议与在间隔分析存在的 overestimation 问题能显著地通过被减轻的相关间隔解决间隔功能。在间隔参数之间的关联被方便在一个统一框架描述关联词和独立间隔变量的多维的平行六面体模型定义。没有关联,然后在原来的变量之间的关系,有关联的原来的间隔变量被转变成标准空间,标准间隔变量被获得。四基本间隔算术操作的表达式,也就是增加,减法,增加,和分割,在标准空格被给。最后,几个数字例子和一个二拍子的圆舞酒吧被用来表明建议方法的有效性。
A new interval arithmetic method is proposed to solve interval functions with correlated intervals through which the overestimation problem existing in interval analysis could be significantly alleviated. The correlation between interval parameters is defined by the multidimensional parallelepiped model which is convenient to describe the correlative and independent interval variables in a unified framework. The original interval variables with correlation are transformed into the standard space without correlation,and then the relationship between the original variables and the standard interval variables is obtained. The expressions of four basic interval arithmetic operations, namely addition, subtraction, multiplication, and division, are given in the standard space. Finally, several numerical examples and a two-step bar are used to demonstrate the effectiveness of the proposed method.