不确定变量存在定理的一个简单证明方法

A simple proof method for existence theorem on uncertain variable

不确定变量是不确定理论的三个基本概念之一,用于表示现实生活中的不确定现象。本文利用线性不确定分布,采用构造性的方法证明了不确定变量的存在性。

Uncertain variable is used to represent imprecise quantities and is one of three fundamental concepts in uncertainty theory.By using the linear uncertainty distribution and a structural method,this paper proves an existence theorem on uncertain variable.This theorem shows there must exist an uncertainty space and uncertain variable for a given uncertainty distribution.