By considering the "multiple-valued" character in practical decision procedure, the interval-valued loss functions were induced to decision-theoretic rough set theory (DTRS) based on the Bayesian decision theory. With respect to the minimum Bayesian expected risk, a model of interval-valued decision-theoretic rough set theory was built The corresponding propositions and criteria of interval-valued decision-theoretic rough set theory were also analyzed. An example of oil investment was given to illuminate the proposed model in applications.%考虑到实际决策问题中损失函数的“多值性”特征,从贝叶斯理论出发,将区间值损失函数引入决策粗糙集,提出区间值决策粗糙集模型.首先,讨论了在贝叶斯期望风险最小的决策语义下,区间值决策粗集理论基本模型的构建过程.其次,分析了区间值决策粗集理论的相关数学性质和准则.最后,通过一个石油投资问题来阐明区间值决策粗糙集模型的应用过程.
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