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arXiv · 1005.4140

A Note on Generalized Intuitionistic Fuzzy $ψ$ Normed Linear Space

Sumit Mohinta·T. K. Samanta
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Abstract

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

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Sumit Mohinta, T. K. Samanta. 2010-05-22. A Note on Generalized Intuitionistic Fuzzy $ψ$ Normed Linear Space. https://arxiv.org/abs/1005.4140

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