TY - JOUR ID - 252079 TI - The Study of Felbin and $BS$ Fuzzy Normed Linear Spaces JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Yaqub Azari, Farnaz AU - Sadeqi, Ildar AD - Department of Mathematics, Sahand University of Technology, P.O.Box 53318-17634, Tabriz, Iran. Y1 - 2022 PY - 2022 VL - 19 IS - 2 SP - 49 EP - 64 KW - Fuzzy number KW - Fuzzy normed linear space (FNLS) KW - Fuzzy bounded operator DO - 10.22130/scma.2022.544742.1033 N2 - In this paper, we first show that the  induced topologies by Felbin and Bag-Samanta type fuzzy norms on a linear space $X$ are equivalent. So all results in Felbin-fuzzy normed linear spaces are valid in Bag-Samanta fuzzy normed linear spaces and vice versa. Using this, we will be able to define a fuzzy norm on $FB(X,Y)$, the space of all fuzzy bounded linear operators from $X$ into $Y$, where $X$ and $Y$ are fuzzy normed linear spaces. UR - https://scma.maragheh.ac.ir/article_252079.html L1 - https://scma.maragheh.ac.ir/article_252079_e381e776c648062c670cd7f438f1c4bf.pdf ER -