On the Fuzzy Metric Spaces


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).


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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


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