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On fuzzy metric spaces

✍ Scribed by Kankana Chakrabarty; Ranjit Biswas; Sudarsan Nanda


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
251 KB
Volume
99
Category
Article
ISSN
0165-0114

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✦ Synopsis


In the present paper, the authors define F-open sets, F-closed sets, F-adherent points, F-limit points, F-isolated points, F-isolated sets, F-derived sets, F-closures, F-interior points, F-interior, F-exterior points, F-exterior, F-everywhere dense sets, F-nowhere dense sets and make some characterizations of fuzzy metric spaces. (~


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Recently we showed the existence of a fuzzy metric space, in the sense of George and Veeramani, which is not completable (Fuzzy Sets and Systems 130 (2002) 399). Here we present an internal characterization of those fuzzy metric spaces that are completable. Some applications are derived and some ill