@article {
author = {Han, S. E. and Lu, L. X. and Yao, W.},
title = {Quantale-valued fuzzy Scott topology},
journal = {Iranian Journal of Fuzzy Systems},
volume = {16},
number = {3},
pages = {175-188},
year = {2019},
publisher = {University of Sistan and Baluchestan},
issn = {1735-0654},
eissn = {2676-4334},
doi = {10.22111/ijfs.2019.4653},
abstract = {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.},
keywords = {Commutative unital quantale, Generalized GL-monoid, Stratified $L$-filter, Stratified $L$-generalized convergence space, Stratified $L$-topology,$L$-fuzzy dcpo, Fuzzy Scott topology},
url = {http://ijfs.usb.ac.ir/article_4653.html},
eprint = {http://ijfs.usb.ac.ir/article_4653_f35a750118ba0d313c54fcda469befe8.pdf}
}