Abstract: Rough set models on two universes are valuable generalizations of classical rough set model. In recent years, different kinds of rough set models on two universes have been established. In order to characterize relative quantitative information within incomplete information system, this paper establishes two kinds of double relative quantitative decision-theoretic rough sets on two universes based on rough set models on two universes, discusses the properties of the proposed models, and explores some interesting relations between above mentioned two models by adjusting different parameters. Finally, this paper uses a SARS dataset to illustrate the definition and relations of the proposed rough set models.

Key words: incomplete information system, two universes, decision-theoretic rough sets, double relative quantitative

摘要： 双论域粗糙集模型是经典粗糙集模型的有效推广，近年来，不同的双论域粗糙集模型已被提出。针对信息缺失的情形，从双相对量化信息角度分别定义了两种双论域双相对定量决策粗糙集，研究了所给出的两种双相对定量决策粗糙集模型的相应数学性质，并探讨了随着相关参数的变化它们之间存在的相应关系。此外，利用SARS病人信息的具体实例解释了所给出的双相对定量决策粗糙集的定义以及所讨论的两种双相对定量决策粗糙集的关系。

关键词: 不完备信息系统, 双论域, 决策粗糙集, 双相对定量