The properties of regular implications
Fang Ren, Yongjian Xie · 2010
In this paper, we simplify the definition of regular implication in paper and study the elementary properties of regular implication firstly. In order to learn the analytical properties, we receive the sufficient and necessary condition that the implication is continuous or has the unique discontinuous point (0,0) respectively. Finally,the concept of the regular implication on the completed lattices are given and the basic properties of them are studied.