Abstract:

The concept of limited dominance relation is proposed in the incomplete fuzzy objective information system. By comparing with the traditional dominance relation in such information system, one can obtain higher approximate accuracy and approximate quality of fuzzy objects by using the limited dominance-based rough fuzzy set approach. Moreover, based on the limited dominance-based rough fuzzy set model, two types of knowledge reductions, the relative lower and upper approximate reductions are proposed. Finally, the practical approaches to compute the relative lower and upper approximate reductions are presented and then an illustrative example is employed to show the validity of such approaches.