Title of article :
C-continuous fuzzy posets
Author/Authors :
Zhang, Y. J. School of Mathematics and Statistics - Shaanxi Normal University, China , Zhao, B. School of Mathematics and Statistics - Shaanxi Normal University, China
Abstract :
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 complete
Q-ordered set is irreducible complete; (2) The Scott Q-cotopology
of a Q-ordered set under the fuzzy inclusion order is C-continuous, even
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.
Keywords :
Category , Q-order , Scott Q-cotopology , C-continuity
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
