Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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FUZZY δ-TOPOLOGY AND COMPACTNESS

  • Lee, Seok-Jong (Department of Mathematics Chungbuk National University) ;
  • Yun, Sang-Min (Department of Mathematics Chungbuk National University)
  • Received : 2010.11.03
  • Published : 2012.04.30
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Abstract

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.

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References

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