On the Fuzzy Metric Spaces
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Authors
G. A. Afrouzi
- Department of Mathematics, Faculty of Basic Sciences, Mazandaran University, Babolsar, Iran
S. Shakeri
- Department of Mathematics, Islamic Azad University--Aytollah Amoli Branch, Amol, Iran
S. H. Rasouli
- Department of Mathematics, Faculty of Basic Science, Babol Noshirvani University of Technology, Babol, Iran
Abstract
In this paper we define complete fuzzy metric space and proved that a fuzzy topologically complete
subset of a fuzzy metric space is a \(G_\delta\) set and prove that a converse of Sierpinsky theorem by
showing that any \(G_\delta\) set in a complete metric space is a topologically complete fuzzy
metrizable space (Alexandroff Theorem).
Share and Cite
ISRP Style
G. A. Afrouzi, S. Shakeri, S. H. Rasouli, On the Fuzzy Metric Spaces, Journal of Mathematics and Computer Science, 2 (2011), no. 3, 475--482
AMA Style
Afrouzi G. A., Shakeri S., Rasouli S. H., On the Fuzzy Metric Spaces. J Math Comput SCI-JM. (2011); 2(3):475--482
Chicago/Turabian Style
Afrouzi, G. A., Shakeri, S., Rasouli, S. H.. "On the Fuzzy Metric Spaces." Journal of Mathematics and Computer Science, 2, no. 3 (2011): 475--482
Keywords
- fuzzy metric spaces
- complete fuzzy metrizable space
- Alexandroff theorem
MSC
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