University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065418320210601C-continuous fuzzy posets6780608210.22111/ijfs.2021.6082ENY. J.ZhangSchool of Mathematics and Statistics, Shaanxi Normal University, Xi'an 710119, P.R. ChinaB.ZhaoSchool of Mathematics and Statistics, Shaanxi Normal University, Xi'an 710119, P.R. ChinaJournal Article20210412In this paper, we develop the C-continuity via Scott Q-cotopological spaces, where Q is a commutative and integral quantale.<br />The main results are: (1) The set of all C-compact elements of a complete<br />Q-ordered set is irreducible complete; (2) The Scott Q-cotopology<br /> of a Q-ordered set under the fuzzy inclusion order is C-continuous, even<br />C-prealgebraic; (3) We establish an adjunction between the category of irreducible complete Q-ordered sets and the category of C-prealgebraic complete Q-ordered sets.https://ijfs.usb.ac.ir/article_6082_ca19ba3eaf7a2ec028b5b3aafb3d7316.pdf