基于限制优势关系的粗糙模糊集及知识约简

以不完备模糊目标信息系统为研究对象，在其中提出了限制优势关系的概念。相比较于传统的优势关系，使用基于限制优势关系的粗糙模糊集，可以提高模糊目标的近似精度与近似质量。在限制优势关系粗糙模糊集的基础上，提出了相对下、上近似约简的概念。最后给出了求得相对下、上近似约简的具体操作方法并进行实例分析以说明其有效性。

Limited dominance-based rough fuzzy set and knowledge reductions

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.