• 제목/요약/키워드: Fuzzy topological spaces

검색결과 154건 처리시간 0.028초

R-SEMI-GENERALIZED FUZZY COMPACTNESS

  • Park, Chun-Kee;Min, Won Keun
    • Korean Journal of Mathematics
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    • 제16권3호
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    • pp.291-300
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    • 2008
  • In this paper, we introduce several types of r-semi-generalized fuzzy compactness and fuzzy r-compactness in fuzzy topological spaces and investigate the relations between these compactness.

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The Category VSet(H)

  • Lim, Pyung-Ki;Kim, So-Ra;Hur, Kul
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제10권1호
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    • pp.73-81
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    • 2010
  • We introduce the new category VSet(H) consisting of H-fuzzy spaces and H-fuzzy mappings between them satisfying a certain condition, and investigate VSet(H) in the sense of a topological universe. Moreover, we show that VSet(H) is Cartesian closed over Set.

R-SEMI-GENERALIZED FUZZY CONTINUOUS MAPS

  • Min, Won Keun;Park, Chun-Kee
    • Korean Journal of Mathematics
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    • 제15권1호
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    • pp.27-37
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    • 2007
  • In this paper, we introduce the concepts of r-semi-generalized fuzzy closed sets, r-semi-generalized fuzzy open sets, r-semi-generalized fuzzy continuous maps in fuzzy topological spaces and investigate some of their properties.

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Almost paracompactness and near paracompactness in L-smooth topological spaces

  • A. A. Ramadan;S. E. Abbas;Kim, Yong-Chan
    • 한국지능시스템학회논문지
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    • 제10권6호
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    • pp.564-568
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    • 2000
  • We introduce in L-smooth topological spaces definitions of paracompactness, almost paracompactness and near paracompactness all of which turn out to be good extensions of their classical topological counterparts. These weak paracompactness are defined for arbitrary L-fuzzy sets and their properties studied.

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FUZZY R-CLUSTER AND FUZZY R-LIMIT POINTS

  • Kim, Yong Chan;Kim, Young Sun
    • Korean Journal of Mathematics
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    • 제8권1호
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    • pp.63-72
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    • 2000
  • In this paper, we introduce the notions of fuzzy r-cluster and fuzzy r-limit points in smooth fuzzy topological spaces and investigate some of their properties.

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Fuzzy (r, s)-preopen sets

  • Lee, Seung-On;Lee, Eun-Pyo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제5권2호
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    • pp.136-139
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    • 2005
  • In this paper, we introduce the concepts of fuzzy (r,s)-preopen sets and fuzzy (r,s)-precontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense and then we investigate some of their characteristic properties.

DOUBLE SEMIOPEN SETS ON DOUBLE BITOPOLOGICAL SPACES

  • Lee, Eun Pyo;Lee, Seung On
    • 충청수학회지
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    • 제26권4호
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    • pp.691-702
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    • 2013
  • We introduce the concepts of double bitopological spaces as a generalization of intuitionistic fuzzy topological spaces in $\check{S}$ostak's sense and Kandil's fuzzy bitopological spaces. Also we introduce the concept of (${\tau}^{{\mu}{\gamma}}$, $U^{{\mu}{\gamma}}$)-double (r, s)(u, v)-semiopen sets and double pairwise (r, s)(u, v)-semicontinuous mappings in double bitopological spaces and investigate some of their characteristic properties.