%0 Journal Article %T Some Basic Results on Fuzzy Strong $\phi$-b-Normed Linear Spaces %J Sahand Communications in Mathematical Analysis %I University of Maragheh %Z 2322-5807 %A Das, Abhishikta %A Bag, Tarapada %A Chatterjee, Shayani %D 2023 %\ 03/01/2023 %V 20 %N 2 %P 183-196 %! Some Basic Results on Fuzzy Strong $\phi$-b-Normed Linear Spaces %K Fuzzy norm %K t-norm %K Fuzzy normed linear space %K Fuzzy strong φ-b-normed linear space %R 10.22130/scma.2023.554520.1117 %X Following the definition of fuzzy normed linear space which was introduced by Bag and Samanta in general t-norm settings, in this paper,  definition of fuzzy strong $\phi$-b-normed linear space is given. Here the scalar function $|c| $ is replaced by a general function $ \phi(c) $ where $ \phi $ satisfies some properties. Some basic results on finite dimensional  fuzzy strong $\phi$-b-normed linear space are studied. %U https://scma.maragheh.ac.ir/article_701675_a5d4147cfb0537096b5141e2d3d300bb.pdf