Busaniche, M and Cignoli, R., "Residuated lattices as algebraic semantics for paraconsistent Nelson logic", Journal of Logic and Computation (2009), doi: 10.1093/logcom/exp028.
Abstract: The class of NPc-lattices is introduced as a quasivariety of
commutative residuated lattices, and it is shown that the class of
pairs $(\A, A^+)$ such that $\A$ is an NPc-lattice and $A^+$ is its
positive cone, is a matrix semantics for Nelson paraconsistent
logic.
Busaniche