针对目前区间灰数的表征和运算过程中存在着较为严重的问题，即：运算结果对灰数的灰度进行不必要的放大，造成信息的严重失真，笔者定义了标准区间灰数与第一和第二标准区间灰数的概念，分析了第一和第二标准区间灰数之间的关系，进一步设计了普通区间灰数与标准区间灰数之间的转换规则，提供了标准区间灰数之间的比较与运算法则，较好地解决了区间灰数之间的大小比较与运算问题。最后，将这一研究成果应用于基于区间数的GM (1, 1)模型预测问题，取得了良好的效果。

Aimed at the severe problems in tokens and computations of grey numbers, which expanded unnecessarily and distorted the information heavily, this paper defined the standard interval grey number and the first and the second standard grey number, and analyzed their relationship. Furthermore, it designed the transformation rule from general grey number to the standard interval grey number, and developed the operation principle of the standard interval grey number to solve preferably the above problems. Last, the paper established the GM (1,1) model based on the interval grey number and got a good effect.