| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4943822 | Fuzzy Sets and Systems | 2017 | 17 Pages |
Abstract
We generalize the notion of complete binary relation on complete lattice to residuated lattice valued ordered sets and show its properties. Then we focus on complete fuzzy tolerances on fuzzy complete lattices and prove they are in one-to-one correspondence with extensive isotone Galois connections. Finally, we prove that any fuzzy complete lattice factorized by a complete fuzzy tolerance is again a fuzzy complete lattice.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Jan Konecny, Michal Krupka,