Abstract
In respect of the definition of intuitionistic fuzzy n-norm \cite{Vijayabalaji}, the definition of generalised intuitionistic fuzzy norm (\, in short GIFN \,) is introduced over a linear space and there after a few results on generalized intuitionistic fuzzy normed linear space and finite dimensional generalized intuitionistic fuzzy normed linear space have been developed. Lastly, we have introduced the definitions of generalised intuitionistic fuzzy continuity , sequentially intuitionistic fuzzy continuity and it is proved that they are equivalent.
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