@article { author = {Yaqub Azari, Farnaz and Sadeqi, Ildar}, title = {The Study of Felbin and $BS$ Fuzzy Normed Linear Spaces}, journal = {Sahand Communications in Mathematical Analysis}, volume = {19}, number = {2}, pages = {49-64}, year = {2022}, publisher = {University of Maragheh}, issn = {2322-5807}, eissn = {2423-3900}, doi = {10.22130/scma.2022.544742.1033}, abstract = {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.}, keywords = {Fuzzy number,Fuzzy normed linear space (FNLS),Fuzzy bounded operator}, url = {https://scma.maragheh.ac.ir/article_252079.html}, eprint = {https://scma.maragheh.ac.ir/article_252079_e381e776c648062c670cd7f438f1c4bf.pdf} }