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Zbl 1083.54514
Saadati, Reza; Park, Jin Han
On the intuitionistic fuzzy topological spaces. (English)
[J] Chaos Solitons Fractals 27, No. 2, 331-344 (2006). ISSN 0960-0779

Summary: We define precompact sets in intuitionistic fuzzy metric spaces and prove that any subset of an intuitionistic fuzzy metric space is compact if and only if it is precompact and complete. Also we define topologically complete intuitionistic fuzzy metrizable spaces and prove that any $G_{\delta}$ set in a complete intuitionistic fuzzy metric space is a topologically complete intuitionistic fuzzy metrizable space and vice versa. Finally, we define intuitionistic fuzzy normed spaces and fuzzy boundedness for linear operators and so we prove that every finite dimensional intuitionistic fuzzy normed space is complete.

MSC 2000:: *54A40 Fuzzy topology

Cited in: Zbl 1200.46011 Zbl 1198.40007 Zbl 1198.54023

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Zentralblatt MATH Berlin [Germany]