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Gregori, Valentín; Romaguera, Salvador

Characterizing completable fuzzy metric spaces. (English) Zbl 1057.54010

Fuzzy Sets Syst. 144, No. 3, 411-420 (2004).
The work deals with the separation of points in intuitionistic fuzzy topological spaces (IFTS). The Hausdorfness of an IFTS is described in terms of convergence of nets. It is shown that an IFTS is \(T_2\) if and only if each convergent intuitionistic fuzzy net has a unique limit. Weakened properties of fuzzy Hausdorfness and \(q\)-Hausdorffness are introduced and characterised.
Reviewer: Vladimír Janiš (Banská Bystrica)

Cited in 57 Documents

MSC:

54A40 Fuzzy topology
54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.)
54E50 Complete metric spaces
54D10 Lower separation axioms (\(T_0\)–\(T_3\), etc.)

Keywords:

intuitionistic topology; separation; Hausdorff property
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\textit{V. Gregori} and \textit{S. Romaguera}, Fuzzy Sets Syst. 144, No. 3, 411--420 (2004; Zbl 1057.54010)
Full Text: DOI

References:

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