TY - JOUR
ID - 4493
TI - A kind of fuzzy upper topology on L-preordered sets
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Han, Sang-Eon
AU - Lu, Ling-Xia
AD - Chonbuk National University
AD - School of Mathematics and Science, Hebei GEO University, Shijiazhuang City, China
Y1 - 2019
PY - 2019
VL - 16
IS - 1
SP - 191
EP - 203
KW - Commutative unital quantale
KW - (Complete) L-(pre)ordered set
KW - Stratified L-filter
KW - Stratified L-topology
KW - Fuzzy S-upper topology
KW - Fuzzy Scott topology
DO - 10.22111/ijfs.2019.4493
N2 - Considering a commutative unital quantale L as the truth value table and using the tool of L-generalized convergence structures of stratified L-filters, this paper introduces a kind of fuzzy upper topology, called fuzzy S-upper topology, on L-preordered sets. It is shown that every fuzzy join-preserving L-subset is open in this topology. When L is a complete Heyting algebra, for every completely distributive L-ordered set, the fuzzy S-upper topology has a special base such that it looks like the usual upper topology on the set of real numbers. For every complete L-ordered set, the fuzzy S-upper topology coincides the fuzzy Scott topology.
UR - https://ijfs.usb.ac.ir/article_4493.html
L1 - https://ijfs.usb.ac.ir/article_4493_f26e1f14507aeb144e01c0ba6e90cc09.pdf
ER -