• Title/Summary/Keyword: hyperspaces

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Fuzzy Separability and Axioms of Countability in Fuzzy Hyperspaces

  • Kul-Hur;Ryu, Jang-Hyun;Baek, B.S
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2002.12a
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    • pp.67-70
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    • 2002
  • We study some relations between separability in fuzzy topological spaces and one in fuzzy hyperspaces. And we investigate some properties of axiom of countability in fuzzy hyperspaces.

ON SET-VALUED MAPS AND HYPERSPACES

  • Kim, Rae-Seon;Lee, Eui-Chul
    • Journal of applied mathematics & informatics
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    • v.8 no.2
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    • pp.635-640
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    • 2001
  • Let X be a T-admissible space and A(x) be the set of all admissible fibers at x∈X. In this paper, we introduce some basic concepts, properties, and known results about set-valued maps, hyperspaces and especially T-admissible spaces. And then, we construct a certain set-valued map(Theorem 2.3) and an arc from {x} to X∈A(x) in use of the set-valued maps(Theorem 2.3 through Theorem 2.7).