Mining Optimal Credible Rules in Incomplete Systems Based on Dominance Relation
In this paper, the incomplete objective information system in which all unknown values are considered as lost is deeply investigated. In such information systems, the concepts of optimal credible rules in terms of increasing and decreasing preferences are proposed based on the dominance relation. To derive all credible rules from the incomplete objective information system, the concept of descriptions are presented. Furthermore, from the viewpoint of the discernibility functions based on the discernibility matrixes, the increasing and decreasing reducts of objects can be worked out and as a result, the optimal credible rules are obtained. The research is meaningful both in the theory and in applications for the acquisition of rules in the incomplete objective information systems.