Bitopological Duality for Algebras of Fittings logic and Natural Duality extension

Abstract

In this paper, we investigate a bitopological duality for algebras of Fitting's multi-valued logic. We also extend the natural duality theory for $\mathbb{IS}{\mathbb{P}}_{\mathbb{I}}(\mathcal{L})$ by developing a duality for $\mathbb{ISP}(\mathcal{L})$, where $\mathcal{L}$ is a finite algebra in which underlying lattice is bounded distributive.