有理灰数的大小关系

Magnitude Relation of Rational Grey Figure

本文在区间型灰数与信息型灰数的基础上。首先独立给出同心有理灰数的定义,然后给出几个有理灰数大小关系的定理及证明。使有理灰数的大小关系可作为实数大小关系的推广,从而使有理灰数集成为全序集。

On the basis of region type of grey figure and information type of grey figure,this paper, first,independently gives out the definition of concentric rational grey figure and then is followed by the thorem and proof of magnitude tre lation of several rational grey figures.Thus it enables magnitude relation of rational grey figure to be spreat as magnitude retation of real figure and ra tional grey figure set become complebe order set.