Rough Lattice: A Combination with the Lattice Theory and the Rough Set Theory

摘要

We have proposed the concepts of rough lattices and studied their basic properties. Although many results reported here are only concerned with basic properties about these new notions, they can hopefully provide more insight into and a full understanding of rough sets theory and one could see that this study presents a very preliminary, but potentially interesting research direction. Naturally, a very important and interesting problem is how to apply the models given in this paper to build the corresponding theory of knowledge discovery in lattice-valued information systems.