Gromov-Hausdorff convergence of non-Archimedean fuzzy metric spaces

نویسندگان

  • Sergio Macario
  • Manuel Sanchis
چکیده

We introduce the notion of the Gromov-Hausdorff fuzzy distance between two non-Archimedean fuzzy metric spaces (in the sense of Kramosil and Michalek). Basic properties involving convergence and the fuzzy version of the completeness theorem are presented. We show that the topological properties induced by the classic Gromov-Hausdorff distance on metric spaces can be deduced from our approach.

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عنوان ژورنال:
  • Fuzzy Sets and Systems

دوره 267  شماره 

صفحات  -

تاریخ انتشار 2015