• Title/Summary/Keyword: separation axioms

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ON FUZZY BITOPOLOGICAL SPACES IN ŠOSTAK'S SENSE

  • Ramadan, A.A.;Abbas, S.E.;El-Latif, A.A. Abd
    • Communications of the Korean Mathematical Society
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    • v.21 no.3
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    • pp.497-514
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    • 2006
  • In this paper, we used the supra fuzzy topology which generated from a fuzzy bitopological space [1] to introduce and study the concepts of continuity (resp. openness, closeness) of mapping, separation axioms and compactness for a fuzzy bitopological spaces. Our definition preserve much of the correspondence between concepts of fuzzy bitopological spaces and the associated fuzzy topological spaces.

SEMI-CONVERGENCE OF p-STACKS

  • Min, Won-Keun
    • Communications of the Korean Mathematical Society
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    • v.18 no.3
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    • pp.533-540
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    • 2003
  • We introduce the notion of semi-convergence of p-stacks and by using that notion we characterize the semi-interior, semiclosure, separation axioms and semi-continuity on a topological space. Also we introduce a new notion of p-somicompactness and investigate its properties in terms of semi-convergence of p-stacks.

On Fuzzy Irresolute Functions

  • Ekici, Erdal;Park, Jin-Han
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.5 no.2
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    • pp.164-168
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    • 2005
  • As a generalization of the notions of fuzzy $\alpha-irresolute$, fuzzy preirresolute, fuzzy irresolute and fuzzy $\beta-irresolute$ functions, we introduce the notion of fuzzy $\beta\alpha-continuous$ functions and investigate the relationships between fuzzy $\beta\alpha-continuous$ functions and fuzzy separation axioms.

PRE-CONVERGENCE OF p-STACKS ON TOPOLOGICAL SPACES

  • Min, Won-Keun
    • The Pure and Applied Mathematics
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    • v.14 no.1 s.35
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    • pp.15-21
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    • 2007
  • We introduce the notion of pre-convergence of p-stacks and characterize the pre-interior, pre-closure, separation axioms and pre-continuity on a topological space by using pre-convergence of p-stacks. We also introduce the notion of p-precompactness and investigate its properties in terms of pre-convergence of p-stacks.

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QUASI-FUZZY CONTINUITY AND QUASI-FUZZY SEPARATION AXIOMS

  • Park, Jin-Han;Park, Jin-Keun;Shin, Su-Young
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.10a
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    • pp.70-76
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    • 1998
  • The aim of this paper is to study and find characterizations of quasi-fuzzy continuous and quasi-fuzzy closed mappings between fuzzy bitopological spaces. The notion of quasi-fuzzy open sets is used to defined quasi-fuzzy Ti (i=0, 1, 2) and quasi-fuzzy regular spaces and these spaces are investigated under quasi-fuzzy continuity. Finally, quasi-fuzzy connectednss is introduced and studied to some extent.

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Fuzzy Hyperpsaces : Fuzzy Compactness

  • K.Hur;C.J. Rhee;J. H. Ryou
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.05a
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    • pp.41-44
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    • 2003
  • First, we investigate some properties of fuzzy compactness. Second, we introduce the concept of fuzzy local compactness in fuzzy topological space and study some of its properties. Finally, we investigate some relations between F-compactness in fuzzy topological spaces and one in fuzzy hyperspaces.

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