中文摘要：

本文从系统哲学角度重新提出灰色朦胧集的定义体系,并采用若干事例进行解释。灰色朦胧集定义体系研究加强了灰色数学基础,也促进灰色系统理论的发展和完善。

英文摘要：

In this paper, we proposed the systematic definition of grey hazy set. For the sake of comprehension ,we also gave some examples to explain the definitions. The result reinforces the foundation of grey mathematics and promotes the development of grey system theory.