模糊度量空间

Fuzzy Metric Spaces

首先给出有广义度量空间的基本概念，为通常意义下的度量空间、随机度量空间、概率度量空间……等不同类型的“度量空间”，提供了一个统一的数学模型，并在该模型下给出了模糊度量空间的一个新定义，改进了文［４］和文［７］的工作．

In this paper the concept of generalized metric spaces is given, suppling a unified mathematical model for the ordinal metric spaces, radom metric spaces. Probabilistic metric spaces and other different kinds of “metric spaces”. Furthermore under the framwork of generaliaed metric spaces a new definition of fuzzy Metric spaces is obtained, and the work of and are reformed.