On fuzzy Λb sets and fuzzy Λb continuity

Gülhan Aslım and Gizem Günel

Chaos, Solitons & Fractals, 2009, vol. 42, issue 2, 1024-1030

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:2:p:1024-1030

DOI: 10.1016/j.chaos.2009.02.042

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