Data-driven valued dominance relation in incomplete ordered decision system

Dominance-based rough set approach is successfully applied to analyze multicriteria decision problems. For the incomplete ordered decision system, its various extensions have been proposed. The valued dominance relation is such an extension. However, the general calculation of dominance degree between objects depends on a prior distribution of incomplete ordered decision system, and how to choose a suitable threshold is also difficult. To solve these problems, a data-driven valued dominance relation is proposed in this paper. First of all, an objective calculation method of dominance degree between objects is designed, which is based on probability statistics. Moreover, this method is more effective for big data sets with a large quantity of objects. Secondly, an automatic threshold calculation method is presented, which does not depend on any prior knowledge except data sets. Finally, some properties of this method are investigated. Experimental results show that this method is superior to other generalized dominance relations in dealing with incomplete information.