关于概率度量和数值度量(英文)

On Probabilistic Metrics and Numerical Metrics

首先给出了概率度量空间等距同构于度量空间的一个新的充要条件，然后引入了准度量族生成的ＰＭＦ空间及具有基和目标的Ｅ－空间的概念，并建立了这些空间的一些性质。

In this paper, we first present a new necessary and sufficient condition for a probabilistic metric space (briefly, a PM space) to be isometrically isomorphic to a metric space. Next introduce the concepts of generating PMF spaces of quasi metric family, as well as E spaces with a base and a target, and develop some properties of these spaces.