Some Basic Results on Fuzzy Strong $\phi$-b-Normed Linear Spaces

Author(s):

Abhishikta Das , Tarapada Bag * , Shayani Chatterjee

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:

Fuzzy norm , t-norm , Fuzzy normed linear space , Fuzzy strong φ-b-normed linear space

Language:
English
Published:
Sahand Communications in Mathematical Analysis, Volume:20 Issue: 2, Spring 2023
Pages:
183 to 196
https://www.magiran.com/p2548085