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A Note on Generalized Intuitionistic Fuzzy ψ Normed Linear Space

2010/05/22 by Sumit Mohinta, Mohinta, Sumit, T. K. Samanta +1
Computer Science · Decision Sciences · Mathematics · #03F55 #46S40 #FOS: Mathematics #Fixed Point Theorems Analysis #Fuzzy and Soft Set Theory #General Mathematics (math.GM) #Optimization and Variational Analysis #math.GM #msc:03F55 #msc:46S40

paper · pdf · doi:10.48550/arxiv.1005.4140

20 pages

arxiv created 2010/05/22 · openalex publication_date 2010/05/22 · arxiv updated 2010/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In respect of the definition of intuitionistic fuzzy n-norm \citeVijayabalaji, the definition of generalised intuitionistic fuzzy ψ norm ( in short GIFψN ) 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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