• Title/Summary/Keyword: fuzzy $\gamma$-continuity

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γ-Connectedness in fuzzy topological spaces

  • Hanafy, I.M.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.3 no.2
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    • pp.258-261
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    • 2003
  • The aim of this paper is to introduce the concept $\gamma$-connectedness in fuzzy topological spaces. We also investigate some interre lations between this types of fuzzy connectedness together with the preservation properties under some types of fuzzy continuity. A comparison between some types of connectedness in fuzzy topological spaces is of interest.

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.

Fuzzy Weakly ${\gamma}-Semicontinuous$ Maps (퍼지 weakly ${\gamma}$-반연속 사상)

  • Lee, Seok-Jong;Kim, Jin-Tae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2006.11a
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    • pp.149-152
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    • 2006
  • By generalizing the definition of B. S. Zhong, we introduce the concept of fuzzy weakly ${\gamma}-semicontinuous$ maps in fuzzy topology of Chattopadhyay. Then the concept introduced by B. S. Zhong become special case of our definition. Also, we show that fuzzy weakly ${\gamma}-semicontinuity$ and fuzzy weakly ${\gamma}-continuity$ are independent notions.

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