@article {
author = {Zhong, Yu and Shi, Fu-Gui},
title = {CHARACTERIZATIONS OF (L;M)-FUZZY TOPOLOGY DEGREES},
journal = {Iranian Journal of Fuzzy Systems},
volume = {15},
number = {4},
pages = {129-149},
year = {2018},
publisher = {University of Sistan and Baluchestan},
issn = {1735-0654},
eissn = {2676-4334},
doi = {10.22111/ijfs.2018.4121},
abstract = {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 $f: X\longrightarrow Y$ 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.},
keywords = {$(L,M)$-fuzzy topology degree,$L$-open set degree,Continuity degree,Openness degree,Closedness degree,Quotient degree},
url = {http://ijfs.usb.ac.ir/article_4121.html},
eprint = {http://ijfs.usb.ac.ir/article_4121_f461cca05ca5bccbe43a2b76bafb0df3.pdf}
}