TY - JOUR
ID - 2599
TI - Fuzzy Topology Generated by Fuzzy Norm
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Saheli, M.
AD - Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
Y1 - 2016
PY - 2016
VL - 13
IS - 4
SP - 113
EP - 123
KW - Fuzzy norm
KW - fuzzy topology
KW - locally convex topological vector space
DO - 10.22111/ijfs.2016.2599
N2 - In the current paper, consider the fuzzy normed linear space $(X,N)$ which is defined by Bag and Samanta. First, we construct a new fuzzy topology on this space and show that these spaces are Hausdorff locally convex fuzzy topological vector space. Some necessary and sufficient conditions are established to illustrate that the presented fuzzy topology is equivalent to two previously studied fuzzy topologies.
UR - http://ijfs.usb.ac.ir/article_2599.html
L1 - http://ijfs.usb.ac.ir/article_2599_80e905324f5d0d9df4942f664b21aabb.pdf
ER -