%0 Journal Article
%T Quantale-valued fuzzy Scott topology
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Han, S. E.
%A Lu, L. X.
%A Yao, W.
%D 2019
%\ 06/29/2019
%V 16
%N 3
%P 175-188
%! Quantale-valued fuzzy Scott topology
%K Commutative unital quantale, Generalized GL-monoid, Stratified $L$-filter, Stratified $L$-generalized convergence space, Stratified $L$-topology
%K $L$-fuzzy dcpo, Fuzzy Scott topology
%R 10.22111/ijfs.2019.4653
%X The aim of this paper is to extend the truth value table oflattice-valued convergence spaces to a more general case andthen to use it to introduce and study the quantale-valued fuzzy Scotttopology in fuzzy domain theory. Let $(L,*,\varepsilon)$ be acommutative unital quantale and let $\otimes$ be a binary operationon $L$ which is distributive over nonempty subsets. The quadruple$(L,*,\otimes,\varepsilon)$ is called a generalized GL-monoid if$(L,*,\varepsilon)$ is a commutative unital quantale and the operation $*$ is$\otimes$-semi-distributive. For generalized GL-monoid $L$ as thetruth value table, we systematically propose the stratified$L$-generalized convergence spaces based on stratified $L$-filters,which makes various existing lattice-valued convergence spaces asspecial cases. For $L$ being a commutative unital quantale, wedefine a fuzzy Scott convergence structure on $L$-fuzzy dcpos anduse it to induce a stratified $L$-topology. This is the inducing wayto the definition of quantale-valued fuzzy Scott topology, whichseems an appropriate way by some results.
%U https://ijfs.usb.ac.ir/article_4653_f35a750118ba0d313c54fcda469befe8.pdf