TY - JOUR
ID - 2598
TI - Stratified $(L,M)$-fuzzy Q-convergence spaces
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Pang, Bin
AU - Zhao, Yi
AD - Shenzhen Graduate School, Harbin Institute of Technology, 518055 Shen-
zhen, P.R. China
Y1 - 2016
PY - 2016
VL - 13
IS - 4
SP - 95
EP - 111
KW - (Stratified) $(L
KW - M)$-fuzzy topology
KW - M)$-fuzzy Q-convergence structure
KW - Topological category
KW - Cartesian-closedness
DO - 10.22111/ijfs.2016.2598
N2 - This paper presents the concepts of $(L,M)$-fuzzy Q-convergence spaces and stratified $(L,M)$-fuzzy Q-convergence spaces. It is shown that the category of stratified $(L,M)$-fuzzy Q-convergence spaces is a bireflective subcategory of the category of $(L,M)$-fuzzy Q-convergence spaces, and the former is a Cartesian-closed topological category. Also, it is proved that the category of stratified $(L,M)$-fuzzy topological spaces can be embedded in the category of stratified $(L,M)$-fuzzy Q-convergence spaces as a reflective subcategory, and the former is isomorphic to the category of topological stratified $(L,M)$-fuzzy Q-convergence spaces.
UR - http://ijfs.usb.ac.ir/article_2598.html
L1 - http://ijfs.usb.ac.ir/article_2598_1c939cd4dac89ee78894504a9620668f.pdf
ER -