Fuzzy transformations and fuzzy residuated connections
Ju-Mok Oh, Yong Chan Kim · Journal of Intelligent & Fuzzy Systems · 2019
In this paper, we define residuated connections and Galois connections and investigate their properties in a Zhang’s fuzzy complete lattice sense. In fact, the relation between fuzzy transform and inverse fuzzy transform is a residuated connection. Using the properties of residuated connections we can solve fuzzy relation equations of fuzzy transform and inverse fuzzy transform.