Title : ( Quasi ¤-Metrics And Fuzzy Metric Spaces )
Authors: Seyyed Alireza Kamel Mirmostafaee ,
Full TextAbstract
Abstract. In this paper, we define a notion of a fuzzy metric (X;M; ¤). Our definition enable us to define a natural topology on the space. Using Stone s metrization Theorem, we will show that the fuzzy topology on (X;M; ¤) is metrizable. Our method will permit us to associate a system of quasi ¤-metrics to space (X;M; ¤), which in return generate a fuzzy metric space (X;M0; ¤) in such a way that under suitable conditions M ´=M.
Keywords
, fuzzy metric spaces, metrizability, quasi metric.
@article{paperid:1012111,
author = {Kamel Mirmostafaee, Seyyed Alireza},
title = {Quasi ¤-Metrics And Fuzzy Metric Spaces},
journal = {Italian Journal of Pure and Applied Mathematics},
year = {2009},
volume = {2009},
number = {26},
month = {October},
issn = {1126-8042},
pages = {217--226},
numpages = {9},
keywords = {fuzzy metric spaces; metrizability; quasi metric.},
}
%0 Journal Article
%T Quasi ¤-Metrics And Fuzzy Metric Spaces
%A Kamel Mirmostafaee, Seyyed Alireza
%J Italian Journal of Pure and Applied Mathematics
%@ 1126-8042
%D 2009
