• 제목/요약/키워드: fuzzy ${\delta}$-continuity

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Fuzzy semi-regular spaces and fuzzy $\delta$-continuous functions

  • Kim, Yong-Chan;Ko, Jung-Mi
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제1권1호
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    • pp.69-74
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    • 2001
  • We introduce fuzzy semi-regular spaces. Furthermore, we investigate the relations among fuzzy super continuity, fuzzy $\delta$-continuity and fuzzy almost continuity in fuzzy topological spaces in view of the definition of Sostak. We study some properties between them.

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FUZZY δ-TOPOLOGY AND COMPACTNESS

  • Lee, Seok-Jong;Yun, Sang-Min
    • 대한수학회논문집
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    • 제27권2호
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    • pp.357-368
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    • 2012
  • We introduce the concepts of fuzzy ${\delta}$-interior and show that the set of all fuzzy ${\delta}$-open sets is also a fuzzy topology, which is called the fuzzy ${\delta}$-topology. We obtain equivalent forms of fuzzy ${\delta}$-continuity. More-over, the notions of fuzzy ${\delta}$-compactness and fuzzy locally ${\delta}$-compactness are defined and their basic properties under fuzzy ${\delta}$-continuous mappings are investigated.

γ-Connectedness in fuzzy topological spaces

  • Hanafy, I.M.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제3권2호
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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.

ON SOME TYPES OF CONTINUOUS FUZZY MULTIFUNCTIONS

  • Ekici, Erdal
    • 대한수학회보
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    • 제41권4호
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    • pp.647-656
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    • 2004
  • In this paper, by using operations, some characterizations and some properties of fuzzy lower and upper continuous multifunctions and its weaker and stronger forms including fuzzy lower and upper weakly continuous, fuzzy lower and upper ${\theta}-continuous$, fuzzy lower and upper strongly ${\theta}-continuous$, fuzzy lower and upper almost strongly ${\theta}-continuous$, fuzzy lower and upper weakly ${\theta}-continuous$, fuzzy lower and upper almost continuous, fuzzy lower and upper super continuous, fuzzy lower and upper ${\delta}-continuous$, are presented.