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Bases of fuzzy vector spaces. (English) Zbl 0797.46060
Author’s abstract. Let $$V$$ be a vector space over a field $$F$$. Let $$A$$ be a fuzzy subspace of $$V$$ over $$F$$. We give sufficient conditions for $$A$$ to have a basis over a fuzzy subfield $$K$$ of $$F$$. We also show that if $$A$$ has the sup property, then $$A$$ has a fully free basis over $$F$$ but not necessarily a fully free basis over $$K$$.

##### MSC:
 46S40 Fuzzy functional analysis 46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces
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##### References:
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