University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414520171029K-FLAT PROJECTIVE FUZZY QUANTALES6581343310.22111/ijfs.2017.3433ENJingLuCollege of Mathematics and Information Science, Shaanxi Normal Univer-
sity, Xi'an 710119, P.R. ChinaKaiyunWangCollege of Mathematics and Information Science, Shaanxi Normal
University, Xi'an 710119, P.R. ChinaBinZhaoCollege of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710119, P.R. ChinaJournal Article20160107In this paper, we introduce the notion of {\bf K}-flat projective fuzzy quantales, and give an elementary characterization in terms of a fuzzy binary relation on the fuzzy quantale. Moreover, we prove that {\bf K}-flat projective fuzzy quantales are precisely the coalgebras for a certain comonad on the category of fuzzy quantales. Finally, we present two special cases of {\bf K} as examples.https://ijfs.usb.ac.ir/article_3433_72d18bb9c00190de1a6790f1395bafc0.pdf