%0 Journal Article
%T Meet-continuity on $L$-directed Complete Posets
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Su, Shuhua
%A Li, Qingguo
%A Guo, Lankun
%D 2013
%\ 10/29/2013
%V 10
%N 5
%P 63-78
%! Meet-continuity on $L$-directed Complete Posets
%K $L$-dcpo
%K Generalized Scott topology
%K Meet-continuity
%R 10.22111/ijfs.2013.1207
%X In this paper, the definition of meet-continuity on $L$-directedcomplete posets (for short, $L$-dcpos) is introduced. As ageneralization of meet-continuity on crisp dcpos, meet-continuity on$L$-dcpos, based on the generalized Scott topology, ischaracterized. In particular, it is shown that every continuous$L$-dcpo is meet-continuous and $L$-continuous retracts ofmeet-continuous $L$-dcpos are also meet-continuous. Then, sometopological properties of meet-continuity on $L$-dcpos arediscussed. It is shown that meet-continuity on $L$-dcpos is atopological invariant with respect to the generalized Scotttopology, and meet-continuity on $L$-dcpos is hereditary withrespect to generalized Scott closed subsets.
%U https://ijfs.usb.ac.ir/article_1207_9b5017f23e1aef5ba45329046156f1b4.pdf