• Title, Summary, Keyword: fuzzy topological space

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SMOOTH FUZZY CLOSURE AND TOPOLOGICAL SPACES

  • Kim, Yong Chan
    • Korean Journal of Mathematics
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    • v.7 no.1
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    • pp.11-25
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    • 1999
  • We will define a smooth fuzzy closure space and a subspace of it. We will investigate relationships between smooth fuzzy closure spaces and smooth fuzzy topological spaces. In particular, we will show that a subspace of a smooth fuzzy topological space can be obtained by the subspace of the smooth fuzzy closure space induced by it.

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INTUITIONISTIC FUZZY TOPOLOGICAL GROUPS

  • HUR, KUL;JUN, YOUNG BAE;RYOU, JANG HYUN
    • Honam Mathematical Journal
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    • v.26 no.2
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    • pp.163-192
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    • 2004
  • In this paper, we introduce the concepts of intuitionistic fuzzy subspaces, intuitionistic fuzzy topological groups and intuitionistic fuzzy quotient groups. And we investigate some of their properties.

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ON QUASI-FUZZY H-CLOSED SPACE AND CONVERGENCE

  • Yoon, Kyo-Chil;Myung, Jae-Duek
    • Korean Journal of Mathematics
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    • v.4 no.2
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    • pp.173-178
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    • 1996
  • In this paper, we discuss quasi-fuzzy H-closed space and introduce ${\theta}$-convergence of prefilter in fuzzy topological space. And we define ${\theta}$-closed fuzzy set using by ${\theta}$-convergence.

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RS-COMPACTNESS IN A REDEFINED FUZZY TOPOLOGICAL SPACE

  • Park, Chun-Kee;Min, Won-Keun
    • The Pure and Applied Mathematics
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    • v.11 no.3
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    • pp.217-229
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    • 2004
  • In this paper, we introduce the concepts of interior of a fuzzy set and several types of fuzzy compactness and fuzzy RS-compactness in a redefined fuzzy topological space and investigate their properties.

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Fuzzy r-minimal Continuous Functions Between Fuzzy Minimal Spaces and Fuzzy Topological Spaces

  • Min, Won-Keun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.10 no.2
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    • pp.124-127
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    • 2010
  • In this paper, we introduce the concepts of fuzzy r-minimal continuous function and fuzzy r-minimal open function between a fuzzy r-minimal space and a fuzzy topological space. We also investigate characterizations and properties for such functions.

Initial smooth Fuzzy Topological Spaces

  • 김용찬
    • Journal of the Korean Institute of Intelligent Systems
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    • v.8 no.3
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    • pp.88-94
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    • 1998
  • We will difine a base of a smooth fuzzy topological space and investigate some properties of bases. We will prove the existences of initial smooth fuzzy topological spaces. From this fact, we can define subspaces and products of smooth fuzzy topological spaces.

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On Intuitionistic Fuzzy Generalized Topological Spaces (Intuitionistic Fuzzy Generalized Topological Spaces 관한 연구)

  • Min, Won-Keun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.5
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    • pp.725-729
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    • 2009
  • In this paper, we introduce the concepts of intuitionistic fuzzy generalized topological spaces and intuitionistic gradation of generalized openness. We also introduce the concepts of IFG-mapping, weak IFG-mapping and IFG-open mapping, and obtain some characterizations for such mappings.

OPERATIONS ON FUZZY TOPOLOGICAL SPACES

  • 박진한;박진근;박성준
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • pp.59-62
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    • 2000
  • In this paper we introduce the notion of fuzzy ${\gamma}$-open sets by using an operation ${\gamma}$ on fuzzy topological space (X, $\tau$) and investigate the related fuzzy topological properties of the associated fuzzy topology $\tau$$\_$${\gamma}$/ and $\tau$. And ${\gamma}$-T$\_$i/(i=0,1,2) separation axioms are defined in fuzzy topological spaces and the validity of some results analogous to those in fuzzy T$\_$i/ spaces due to Ganguly and Saha [2] are examined.

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