TY - JOUR
ID - 4121
TI - CHARACTERIZATIONS OF (L;M)-FUZZY TOPOLOGY DEGREES
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Zhong, Yu
AU - Shi, Fu-Gui
AD - College of Science, North China University of Technology, Beijing, P. R. China
AD - School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China and Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing, P.R. China.
Y1 - 2018
PY - 2018
VL - 15
IS - 4
SP - 129
EP - 149
KW - $(L
KW - M)$-fuzzy topology degree
KW - $L$-open set degree
KW - Continuity degree
KW - Openness degree
KW - Closedness degree
KW - Quotient degree
DO - 10.22111/ijfs.2018.4121
N2 - In this paper, characterizations of the degree to which a mapping $mathcal{T} : L^{X}longrightarrow M$ is an $(L, M)$-fuzzy topology are studied in detail.What is more, the degree to which an $L$-subset is an $L$-open set with respect to $mathcal{T}$ is introduced.Based on that, the degrees to which a mapping $f: Xlongrightarrow Y$ is continuous,open, closed or a quotient mapping with respect to $mathcal{T}_{X}$ and $mathcal{T}_{Y}$ are defined, and their characterizations are given, respectively.Besides, the relationships among the continuity degrees, the openness degrees, the closedness degrees and the quotient degrees of mappings are discussed.
UR - http://ijfs.usb.ac.ir/article_4121.html
L1 - http://ijfs.usb.ac.ir/article_4121_f461cca05ca5bccbe43a2b76bafb0df3.pdf
ER -