A novel algorithm of matrix computation for lower approximation reduction in IOIS

In this article, a new method for lower approximation reduction is introduced in inconsistent ordered information systems (IOIS). The dominance matrix and lower approximation decision matrix are proposed in information systems based on dominance relations. Furthermore, the algorithm of lower approximation reduction is obtained, from which we can provide approach to lower approximation reduction operated simply in inconsistent systems based on dominance relations. Finally, an example illustrates the validity of this method, and shows the method is excellent to a complicated information system.