Proceedings of the Korean Institute of Intelligent Systems Conference (한국지능시스템학회:학술대회논문집)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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On the Intuitionistic Fuzzy Metric Spaces

직관적 퍼지거리공간에 관하여

  • Park Jin Han (Division of Mathematical Sciences, Pukyong National University) ;
  • Saadati R, (Department of Mathematics, Azad University)
  • Published : 2005.04.01
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Abstract

In this paper, we define precompact set in intuitionistic fuzzy metric spaces and prove that any subset of an intuitionistic fuzzy metric space is compact if and only if it is precompact and complete. Also we define topologically complete intuitionistic fuzzy metrizable spaces and prove that any $G\delta$ set in a complete intuitionistic fuzzy metric spaces is a topologically complete intuitionistic fuzzy metrizable space and vice versa.

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