Been avoiding fuzzy / fuzzy closure notions as they can smear over nice fractals and fiber bundles (I think), BUT really, sometimes you just gotta build on top of the mess and hope it holds, right?
The category of algebraic fuzzy closure L-systems on fuzzy complete lattices
“Abstract: Based on a complete residuated lattice, algebraic fuzzy closure operators and algebraic fuzzy closure L-systems on a fuzzy complete lattice are defined and investigated. We establish a “one-to-one” correspondence between algebraic fuzzy closure operators and algebraic fuzzy closure L-systems under a condition on fuzzy order. Moreover, it is shown that the category of (algebraic) fuzzy closure operator spaces is isomorphic to the category of (algebraic) fuzzy closure L-system spaces.” 2017
Correspondence: [*] Corresponding author. Qingguo Li, College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, China.