TY - JOUR
ID - 6082
TI - C-continuous fuzzy posets
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Zhang, Y. J.
AU - Zhao, B.
AD - School of Mathematics and Statistics, Shaanxi Normal University, Xi'an 710119, P.R. China
Y1 - 2021
PY - 2021
VL - 18
IS - 3
SP - 67
EP - 80
KW - category
KW - Q-order
KW - Scott Q-cotopology
KW - C-continuity
DO - 10.22111/ijfs.2021.6082
N2 - In this paper, we develop the C-continuity via Scott Q-cotopological spaces, where Q is a commutative and integral quantale.The main results are: (1) The set of all C-compact elements of a completeQ-ordered set is irreducible complete; (2) The Scott Q-cotopology of a Q-ordered set under the fuzzy inclusion order is C-continuous, evenC-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.
UR - https://ijfs.usb.ac.ir/article_6082.html
L1 - https://ijfs.usb.ac.ir/article_6082_ca19ba3eaf7a2ec028b5b3aafb3d7316.pdf
ER -