International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Some Properties on Intuitionistic Fuzzy Metric Space

  • Park, Jong-Seo (Department of Mathematic Education, Chinju National University of Education) ;
  • Kwun, Young-Chel (Department of Mathematics, Dong-A University) ;
  • Park, Jin-Han (Division of Mathematical Sciences, Pukyong National University)
  • Received : 2009.11.08
  • Accepted : 2010.04.28
  • Published : 2010.06.25
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Abstract

We define some terminologies on intuitionistic fuzzy metric space and prove that the topology generated by any intuitionistic fuzzy metric space is metrizable. Also, we show that if the intuitionistic fuzzy metric space is complete, then the generated topology is completely metrizable, a Baire space, and that an intuitionistic fuzzy metric space is precompact if and only if every sequence has a Cauchy subsequence.

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References

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