Affiliations: [a] School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China
| [b] Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing, China
| [c] School of Sciences, Hebei University of Science and Technology, Shijiazhuang, China
Correspondence:
[*]
Corresponding author. Wei Yao, School of Sciences, Hebei University of Science and Technology, Shijiazhuang
050018, China. Tel./Fax: +86 0311 81668514; E-mail: yaowei0516@163.com.
Abstract: In this paper, we use a commutative unital quantale as the truth value table to study some dualities between certain subcategories of fuzzy posets. We mainly show that the category of fuzzy posets, that of fuzzy dcpos, that of fuzzy domains and that of fuzzy completely lattices are self-dual, when they are equipped with suitable morphisms.
