关于Fuzzy度量点式刻画的一点注记

A Note on the Pointwise Depiction of Fuzzy Metrics

中文关键词:  Fuzzyp．q．度量  点式Fuzzyp．q．度量  诱导的Fuzzyp．q．度量．

英文关键词:fuzzy p. q. metric  pointwise fuzzy p. q. metric  induced fuzzy p. q. metric.

中文摘要:

      本文中重新定义由一个点式Ｆｕｚｚｙｐ．ｑ．度量ｄ所诱导的Ｆｕｚｚｙｐ．ｑ．度量｛Ｄｒ｜ｒ＞０｝（代替［１］中的相关重域映射族）．在新的定义下，点式Ｆｕｚｚｙｐ．ｑ．（ｐ．）度量与Ｆｕｚｚｙｐ．ｐ．（ｐ．）度量之间有令人满意的──对应关系．

英文摘要:

      We define the fuzzy p. q. metrix (instead of the associated family of Q -neighborhood mappings) induced by a pointwise fuzzy p. q. metric. Under the new definition, there exists an one-to-one correspondence between the pointwise fuzzy p. q. (p. ) metrics and the fuzzy p. q. (p. ) metrics.