%0 Journal Article
%T CHARACTERIZATIONS OF (L;M)-FUZZY TOPOLOGY DEGREES
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Zhong, Yu
%A Shi, Fu-Gui
%D 2018
%\ 08/30/2018
%V 15
%N 4
%P 129-149
%! CHARACTERIZATIONS OF (L;M)-FUZZY TOPOLOGY DEGREES
%K $(L
%K M)$-fuzzy topology degree
%K $L$-open set degree
%K Continuity degree
%K Openness degree
%K Closedness degree
%K Quotient degree
%R 10.22111/ijfs.2018.4121
%X 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.
%U http://ijfs.usb.ac.ir/article_4121_f461cca05ca5bccbe43a2b76bafb0df3.pdf