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Completion of Standard Fuzzy Metric Space
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Volume 3, 2015
Issue 2 (April)
Pages: 19-25   |   Vol. 3, No. 2, April 2015   |   Follow on         
Paper in PDF Downloads: 20   Since Aug. 28, 2015 Views: 1582   Since Aug. 28, 2015
Jehad R. Kider, Department of Applied Science, University of Technology, Baghdad, Iraq.
In this paper we recall the definition of standard fuzzy metric spaces then we discuss several properties of this space after some illustrative examples where given. After that we show that the existence of a standard fuzzy metric space which is not completable. Here we prove that every completable standard fuzzy metric space admits a unique [up to F-isometric] completation.
Standard Fuzzy Metric Space, F-Bounded Set, Completable Standard Fuzzy Metric Space
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