TY - JOUR
ID - 302
TI - GRADUAL NORMED LINEAR SPACE
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Sadeqi, I.
AU - Azari, F. Y.
AD - Department of Mathematics, Sahand university of technology, Tabriz-
Iran
Y1 - 2011
PY - 2011
VL - 8
IS - 5
SP - 131
EP - 139
KW - Fuzzy interval
KW - Gradual real number
KW - Locally convex space
DO - 10.22111/ijfs.2011.302
N2 - In this paper, the gradual real numbers are considered and the
notion of the gradual normed linear space is given. Also some topological
properties of such spaces are studied, and it is shown that the gradual normed
linear space is a locally convex space, in classical sense. So the results in locally
convex spaces can be translated in gradual normed linear spaces. Finally, we
give an example of a gradual normed linear space which is not normable in
classical analysis.
UR - https://ijfs.usb.ac.ir/article_302.html
L1 - https://ijfs.usb.ac.ir/article_302_6ea1e8a077e90219b672804fb0f85ca4.pdf
ER -