针对信息不完全的偏好多属性决策问题,给出一种基于拓展粗糙集的决策分析方法.首先提出广义扩展优势关系的概念;然后在广义扩展优势关系下得到知识的粗糙近似,给出分类决策规则.对比分析证明,扩展优势关系和有限扩展优势关系都是广义扩展优势关系的特例.最后通过一个实例验证了所提出方法的可行性和有效性.
A decision analysis method based on extension of rough sets is proposed for multi-attribute decision making problems with preference and incomplete information. Firstly, the concept of generalized extended dominance relation is presented. Then, the rough approximations of knowledge are obtained based on generalized extended dominance relation and decision rules of classification are acquired. Both extended dominance relation and limited extended dominance relation are proved to be special cases of generalized extended dominance relation by contrast analysis. Finally, an example shows the feasibility and effectiveness of the proposed method.