University of MaraghehSahand Communications in Mathematical Analysis2322-580720220230301Some Basic Results on Fuzzy Strong $\phi$-b-Normed Linear Spaces18319670167510.22130/scma.2023.554520.1117ENAbhishiktaDasDepartment of Mathematics, Siksha-Bhavana, Visva-Bharati, Santiniketan-731235, Birbhum, West-Bengal, India.0000-0002-2860-424XTarapadaBagDepartment of Mathematics, Siksha-Bhavana, Visva-Bharati, Santiniketan-731235, Birbhum, West-Bengal, India.0000-0002-8834-7097ShayaniChatterjeeDepartment of Mathematics, Siksha-Bhavana, Visva-Bharati, Santiniketan-731235, Birbhum, West-Bengal, India.Journal Article20220525Following 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.https://scma.maragheh.ac.ir/article_701675_a5d4147cfb0537096b5141e2d3d300bb.pdf