On metric spaces induced by fuzzy metric spaces

Authors

  • D. Qiu College of Mathematics and Physics,, Chongqing University of Posts and Telecommunications,, Nanan, Chongqing, 400065, P. R. China
  • H. Li College of Mathematics and Physics,, Chongqing University of Posts and Telecommunications,, Nanan, Chongqing, 400065, P. R. China
  • R. Dong 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.

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Journal title

volume 13  issue 2

pages  145- 160

publication date 2016-04-30

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