@article {
author = {Han, Sang-Eon and Lu, Ling-Xia},
title = {A kind of fuzzy upper topology on L-preordered sets},
journal = {Iranian Journal of Fuzzy Systems},
volume = {16},
number = {1},
pages = {191-203},
year = {2019},
publisher = {University of Sistan and Baluchestan},
issn = {1735-0654},
eissn = {2676-4334},
doi = {10.22111/ijfs.2019.4493},
abstract = {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.},
keywords = {Commutative unital quantale,(Complete) L-(pre)ordered set,Stratified L-filter,Stratified L-topology,Fuzzy S-upper topology,Fuzzy Scott topology},
url = {https://ijfs.usb.ac.ir/article_4493.html},
eprint = {https://ijfs.usb.ac.ir/article_4493_f26e1f14507aeb144e01c0ba6e90cc09.pdf}
}