正则剩余格的粗滤子

Rough filter of regular residuated lattice

本文讨论正则剩余格中的粗滤子。首先在剩余格中引入同余关系,讨论了同余关系的性质,然后给出基于同余关系的粗糙集代数,并定义粗滤子、粗素滤子等概念,最后讨论了它们的性质。

In this paper, the rough filters of regular residuated lattices are studied. First, the notion of congruence relation is introduced, their characteristics in regular residuated lattice are discussed. Second, the rough set algebra based on the congruence relation is given, notions of rough filter and prime filter are defined, properties of them are investigated in the end.