On metric spaces induced by fuzzy metric spaces
نویسندگان
1 College of Mathematics and Physics,, Chongqing University of Posts and Telecommunications,, Nanan, Chongqing, 400065, P. R. China
2 College of Mathematics and Physics,, Chongqing University of Posts and Telecommunications,, Nanan, Chongqing, 400065, P. R. China
3 College of Mathematics and Physics,, Chongqing University of Posts and Telecommunications,, Nanan, Chongqing, 400065, P. R. China
doi
10.22111/ijfs.2016.2364چکیده
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.
