On metric spaces induced by fuzzy metric spaces

Document Type: Research Paper

Authors

College of Mathematics and Physics,, Chongqing University of Posts and Telecommunications,, Nanan, Chongqing, 400065, P. R. China

Abstract

For a class of fuzzy metric spaces (in the sense of George and Veeramani) with an H-type t-norm,  we present a method to construct a metric on a  fuzzy metric space. The induced metric space shares many important
 properties with the given fuzzy metric space.  Specifically, they generate the same topology, and have the
 same completeness. Our results can give the constructive proofs to some problems for fuzzy metric spaces
  in the  literature, which are shown by   examples in this paper.

Keywords


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