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模型.首先提出限制优势关系的概念;然后在限制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,限制优势关系既保留了扩展优势关系的优点,又在一定程度上克服了扩展优势关系的局限性.最后通过一个实例验证了所提出的模型对信息不完备决策系统的处理更符合实际情况。
A decision analysis model based on extension of rough sets is proposed for multi-attribute decision making problems with preference and incomplete information. Firstly, the concept of limited dominance relatio is presented. Then, the rough approximations of knowledge are obtained based on limited dominance relation and decision rules of classification are acquired. Compared with the extended dominance relations, the limited dominance relation takes into account the differences between different incomplete information. Finally, an example shows the feasibility and effectiveness of the proposed model.