Scott convergence and fuzzy Scott topology onL-posets

Hongping Liu, and Ling Chen. "Scott convergence and fuzzy Scott topology onL-posets." Open Mathematics 15.1 (2017): 815-827. <http://eudml.org/doc/288495>.

@article{HongpingLiu2017,
abstract = {We firstly generalize the fuzzy way-below relation on an L-poset, and consider its continuity by means of this relation. After that, we introduce a kind of stratified L-generalized convergence structure on an L-poset. In terms of that, L-fuzzy Scott topology and fuzzy Scott topology are considered, and the properties of fuzzy Scott topology are discussed in detail. At last, we investigate the Scott convergence of stratified L-filters on an L-poset, and show that an L-poset is continuous if and only if the Scott convergence on it coincides with the convergence with respect to the corresponding topological space.},
author = {Hongping Liu, Ling Chen},
journal = {Open Mathematics},
keywords = {L-poset; Convergence structure; Scott topology; Stratified L-filter},
language = {eng},
number = {1},
pages = {815-827},
title = {Scott convergence and fuzzy Scott topology onL-posets},
url = {http://eudml.org/doc/288495},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Hongping Liu
AU - Ling Chen
TI - Scott convergence and fuzzy Scott topology onL-posets
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 815
EP - 827
AB - We firstly generalize the fuzzy way-below relation on an L-poset, and consider its continuity by means of this relation. After that, we introduce a kind of stratified L-generalized convergence structure on an L-poset. In terms of that, L-fuzzy Scott topology and fuzzy Scott topology are considered, and the properties of fuzzy Scott topology are discussed in detail. At last, we investigate the Scott convergence of stratified L-filters on an L-poset, and show that an L-poset is continuous if and only if the Scott convergence on it coincides with the convergence with respect to the corresponding topological space.
LA - eng
KW - L-poset; Convergence structure; Scott topology; Stratified L-filter
UR - http://eudml.org/doc/288495
ER -