We extend Priestley Duality to suitable categories of fuzzy topological spaces and ordered algebraic structures that generalize bounded distributive lattices. The duality we prove extends not only classical Priestley Duality between Priestley Spaces and bounded distributive lattices, but also the duality between limit cut complete MV-algebras and Stone MV-topological spaces (proved by the second author in a previous paper) which, on its turn, is an extension of classical Stone Duality.

翻译：我们将普里斯特利对偶性扩展到合适的模糊拓扑空间范畴与有界分配格的有序代数结构范畴。所证明的对偶性不仅推广了经典普里斯特利空间与有界分配格之间的普里斯特利对偶性，还推广了极限切割完备MV-代数与斯通MV-拓扑空间之间的对偶性（由第二作者在先前论文中证明），而后者本身即是经典斯通对偶性的扩展。