| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4949984 | Electronic Notes in Theoretical Computer Science | 2017 | 13 Pages |
Abstract
The purpose of this paper is to investigate the connections between KM-fuzzy quasi-metric spaces and the associated order structures of formal balls. We introduce the notions of Yoneda T-completeness and Yoneda S-completeness on KM-fuzzy quasi-metric spaces. In both cases, the associated posets of formal balls are directed complete. In particular, for a subclass of KM-fuzzy quasi-metric spaces, Yoneda T-completeness and Yoneda S-completeness are characterized respectively by directed completeness of the associated posets of formal balls.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
You Gao, Xiangnan Zhou,