Finite dimensional fuzzy normed linear space. (English) Zbl 0770.46038

Summary: The concept of a fuzzy normed linear space is introduced. It is proved that in a finite dimensional fuzzy normed linear space fuzzy norms are the same upto fuzzy equivalence. Finite dimensional fuzzy subspaces of a fuzzy normed linear space are proved to be necessarily complete fuzzy normed linear spaces.


46S40 Fuzzy functional analysis
Full Text: DOI


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