随机结构空间理论初探

The Research of Random Structure Spaces

提出了随机结构空间的概念,引出了随机拓扑空间、随机度量空间、随机赋范空间、随机内积空间、随机关系等随机数学结构的概念,初步研究了随机度量空间、随机赋范空间、随机内积空间的基本构造以及与概率度量空间、概率赋范空间、概率内积空间的关系.

In this paper, the Random structure spaces has been definitied. So that, the Random topolgy spaces, Random Metric spaces, Random Normed spaces, Random inner product spaces and the Random relations have been given. We studied the basic structures of Random Metric sapces, Random Normed spaces and Random inner product spaces and the relations with probabilistic Metric spaces, probabilistic Normed spaces and probabilistic inner product spaces.