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Finite dimensional intuitionistic fuzzy normed linear space. (English) Zbl 1214.46054

Summary: Following the definition of intuitionistic fuzzy \(n\)-norm, we introduce the definition of intuitionistic fuzzy norm (in short IFN) over a linear space and thereafter a few results on intuitionistic fuzzy normed linear space and finite dimensional intuitionistic fuzzy normed linear space. Lastly, we introduce the definitions of intuitionistic fuzzy continuity and sequentially intuitionistic fuzzy continuity and prove that they are equivalent.

MSC:

46S40 Fuzzy functional analysis
03E72 Theory of fuzzy sets, etc.