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http://ifigenia.org/wiki/issue:nifs/10/1/18-26
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| Title of paper:
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Some properties of intuitionistic fuzzy metric spaces
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| Author(s):
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| Hong Yongfa
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| College of Electronic Information and Engineering, Tongji University, 200092 Shanghai, China
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| 0410080012@smail.tongji.edu.cn
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| Jiang Changjun
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| College of Information Science and Engineering, Shandong University of Science and Technology, 266510 Qingdao, China
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| Published in:
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"Notes on IFS", Volume 10 (2004) Number 1, pages 18-26
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| Download:
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 PDF (317 Kb, Info)
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| Abstract:
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In this paper we discuss some properties of intuitionistic fuzzy metric spaces, introduced by Jin Han Park in the article titled "Intuitionistic fuzzy metric spaces", we prove that the topology induced by any (complete) intuitionistic fuzzy metric space is (completely) metrizable and show that every separable intuitionistic fuzzy metric space is compact if and only if it is precompact and complete.
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| Keywords:
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Intuitionistic fuzzy sets, Intuitionistic fuzzy metric space, Precompact, Metrizable
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| References:
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- Schweizer B., Sklar A., Statistical metric spaces, Pacific J Math 1960, 10, 314-34
- Jin Han Park, Intuitionistic fuzzy metric spaces, Chaos, Solutions and Fractals, 2004, 22, 1039-46
- Atanassov K., Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 1986, 20, 87-96
- R. Enkelking, General topology, PWN-Polish Sci. Publ. Warsaw, 1977
- V. Gregori, S. Romaguera, Some properties of fuzzy metric spaces. Fuzzy Sets and Systems, 2000, 115, 485-89
- K. T. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Berlin, 1999.
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