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METRICS,PROBABILISTIC METRICS AND RANDOM METRICS

Tiexin Guo

1995Mathematics被引 2

摘要

First, this paper gives a precise representation of the diagonal section of the largest weak t-norm of a probabilistic metric space, which makes the important YouZhu theorems in the theory of probabilistic metric spaces obvious. Then it shows that probabilistic metric space-system is equivalent to ordinary metric space-system in the sense of isometrical isomorphism, and random metric space-system is distinct essentially from both probabilistic metric space-system and ordinay metric space-system.

引用本文（GB/T 7714）