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Park, Jin Han; Lee, Bu Young; Choi, Jae Rong

Fuzzy \(\theta\)-connectedness. (English) Zbl 0805.54014

Fuzzy Sets Syst. 59, No. 2, 237-244 (1993).
The authors introduce continuous-like mappings in fuzzy setting and fuzzy \(\theta\)-connected sets by the help of the concept of fuzzy \(\theta\)- closure. It is shown that for a fuzzy set \(A\) of a fuzzy regular space \(X\) the following is equivalent: (a) \(A\) is fuzzy connected set; (b) \(A\) is fuzzy \(\delta\)-connected; (c) \(A\) is fuzzy \(\theta\)-connected. Finally, the authors study the images of fuzzy \(\theta\)-connected sets under different types of continuous-like mappings.
Reviewer: S.Ganguly (Calcutta)

Cited in 1 Review
Cited in 3 Documents

MSC:

54A40 Fuzzy topology

Keywords:

fuzzy \(\delta\)-closure; fuzzy \(\theta\)-closure; fuzzy \(\theta\)-connected sets
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References:

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