• Title/Summary/Keyword: fuzzy quasi continuous

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Fuzzy γ-Quasi Open Set and Fuzzy γ-Quasi Continuity

  • Min, Won-Keun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.10 no.3
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    • pp.200-202
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    • 2010
  • In this paper, we introduce the concept of fuzzy ${\gamma}$-quasi open sets which are generalizations of fuzzy ${\gamma}$-open sets, and obtain some basic properties of such fuzzy sets. Also we introduce and study the concepts of fuzzy ${\gamma}$-quasi continuous mapping and fuzzy ${\gamma}$-quasi open(closed) mapping.

ON FUZZY QUASI-CONTINUOUS MAPPINGS

  • Park, Jin-Han;Park, Jin-Keun;Son, Mi-Jung
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.8
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    • pp.760-763
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    • 2001
  • The aim of this paper is to continue the study of fuzzy quasi-continuous mappings due to Park et al [12] on fuzzy bitopological spaces.

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Fuzzy Almost Continuous Mappings and Fuzzy Almost Quasi-Compact Mappings

  • Park, Kuo-Duok;Im, Young-Bin;Soung, Goang-Ou
    • Journal of the Korean Institute of Intelligent Systems
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    • v.5 no.1
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    • pp.3-14
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    • 1995
  • In this paper we introduce the class of fuzzy almost contrinuous mappings. It contains the class of fuzzy continuous mappings and is contained in the class of fuzzy weakly continuous mappings. In section 3 we discuss various properties of such mappings. In section 4 we also introduce the notion of fuzzy almost quasi-compact mappings and give relations between fuzzy almost quasi-compact mappings and the mapping which are introduced in section 2 and 3.

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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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NEW KINDS OF CONTINUITY IN FUZZY NORMED SPACES

  • Hazarika, Bipan;Mohiuddine, S.A.
    • Honam Mathematical Journal
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    • v.43 no.3
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    • pp.547-559
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    • 2021
  • We first define the notions of filter continuous, filter sequentially continuous and filter strongly continuous in the framework of fuzzy normed space (FNS), and then we introduce the notion of filter slowly oscillating sequences in the setting of FNS and shows that this notion is stronger than slowly oscillating sequences. Further, we define the concept of filter slowly oscillating continuous functions, filter Cesàro slowly oscillating sequences as well as some other related notions in the aforementioned space and investigate several related results.