An identification theorem for the completion of the Hausdorff fuzzy metric
نویسندگان
چکیده
منابع مشابه
An identification theorem for the completion of the Hausdorff fuzzy metric
We prove that given a fuzzy metric space (in the sense of Kramosil and Michalek), the completion of its Hausdorff fuzzy metric space is isometric to the Hausdorff fuzzy metric space of its completion, when the Hausdorff fuzzy metrics are defined on the respective collections of non-empty closed subsets. As a consequence, we deduce the corresponding result for metric spaces by using the standard...
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ژورنال
عنوان ژورنال: Fuzzy Sets and Systems
سال: 2013
ISSN: 0165-0114
DOI: 10.1016/j.fss.2013.04.012