C-continuous fuzzy posets

Author(s):

Y. J. Zhang * , B. Zhao

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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 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.

Keywords:

category , Q-order , Scott Q-cotopology , C-continuity

Language:
English
Published:
Iranian journal of fuzzy systems, Volume:18 Issue: 3, May-Jun 2021
Pages:
67 to 80
https://www.magiran.com/p2255695