%0 Journal Article
%T L-CONVEX SYSTEMS AND THE CATEGORICAL ISOMORPHISM TO SCOTT-HULL OPERATORS
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Shen, Chong
%A Shi, Fu-Gui
%D 2018
%\ 04/29/2018
%V 15
%N 2
%P 23-40
%! L-CONVEX SYSTEMS AND THE CATEGORICAL ISOMORPHISM TO SCOTT-HULL OPERATORS
%K $L$-convex system
%K Scott-hull space
%K Induced $L$-convex structure
%K Quotient system
%R 10.22111/ijfs.2018.3754
%X The concepts of $L$-convex systems and Scott-hull spaces are proposed on frame-valued setting. Also, we establish the categorical isomorphism betweenÂ $L$-convex systems and Scott-hull spaces. Moreover, it is proved that the category of $L$-convex structures isÂ bireflective in the category of $L$-convex systems. Furthermore, the quotient systems of $L$-convex systems are studied.
%U https://ijfs.usb.ac.ir/article_3754_de43053a691df5ee38c5df21e874a1b9.pdf