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On fuzzy Λb sets and fuzzy Λb continuity

Author

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  • Aslım, Gülhan
  • Günel, Gizem

Abstract

We introduce a new class of fuzzy open sets called fuzzy Λb sets which includes the class of fuzzy γ-open sets due to Hanafy [Hanafy IM. Fuzzy γ-open sets and fuzzy γ-continuity. J Fuzzy Math 1999;7:419–30]. We also define a weaker form of fuzzy Λb sets termed as fuzzy locally Λb sets. By means of these new sets, we present the notions of fuzzy Λb continuity and fuzzy locally Λb continuity which are weaker than fuzzy γ-continuity due to Hanafy [Hanafy IM. Fuzzy γ-open sets and fuzzy γ-continuity. J Fuzzy Math 1999;7:419–30] and furthermore we investigate the relationships between these new types of continuity and some others.

Suggested Citation

  • Aslım, Gülhan & Günel, Gizem, 2009. "On fuzzy Λb sets and fuzzy Λb continuity," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1024-1030.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:1024-1030
    DOI: 10.1016/j.chaos.2009.02.042
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