• Title/Summary/Keyword: fuzzy HR-$T_2$ spaces

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ON FUZZY ${T_2}$-AXIOMS

  • Cho, Sung-Ki
    • Communications of the Korean Mathematical Society
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    • v.14 no.2
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    • pp.393-403
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    • 1999
  • Some fuzzy T\ulcorner-axioms are characterized in terms of the notion of fuzzy closure and the relationship between those fuzzy T\ulcorner-axioms are obtained. Also, finite fuzzy topological spaces satisfying one of those axioms are studied.

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ON FUZZY T2-AXIOMS AND FUZZY COMPACTNESS

  • Cho, Sung Ki;Chung, Dong Gweon
    • Korean Journal of Mathematics
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    • v.6 no.2
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    • pp.155-164
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    • 1998
  • In this paper, the fuzzy $T_2$-axioms due to Hutton and Reilly, Ganguly and Saha and Sinha are characterized by using the notion of fuzzy closure. As consequences, we study the relation between the fuzzy $T_2$-axioms and give some examples which show that the axiom of fuzzy compactness, due to Ganguly and Saha, is not compatible with the fuzzy $T_2$-axioms.

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