Fuzzy congruence relations on lattice-ordered ring
Bing Qiao · Journal of Northeast Normal University · 2001
In this paper, the definition of fuzzy congruence relations on lattice-ordered ring is given, some properties of it are studied, the set of all fuzzy congruence relations on a lattice-ordered ring is proved to be a modular lattice about the inclusion relation of fuzzy sets. Using fuzzy congruence class, the definition of fuzzy congruence quotient lattice-ordered ring is given, and some properties about homomorphism and isomorphism are proved.