University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065416120190201A kind of fuzzy upper topology on L-preordered sets191203449310.22111/ijfs.2019.4493ENSang-EonHanChonbuk National UniversityLing-XiaLuSchool of Mathematics and Science, Hebei GEO University, Shijiazhuang City, ChinaJournal Article20180101Considering 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.https://ijfs.usb.ac.ir/article_4493_f26e1f14507aeb144e01c0ba6e90cc09.pdf