模糊数决策粗糙集

Fuzzy Decision-theoretic Rough Sets

考虑到实际决策问题中损失函数的不确定性特征,从贝叶斯理论出发,将模糊数损失函数引入决策粗糙集,提出模糊数决策粗糙集模型。首先,讨论在贝叶斯期望风险最小决策的语义下模糊数决策粗集理论基本模型的构建过程。其次,分析模糊数决策粗集理论的相关数学性质和准则。最后,通过一个企业信用评估问题来阐明模糊数决策粗糙集模型的应用过程。

By considering the uncertain character in practical decision procedure,the fuzzy loss functions were induced to decision-theoretic rough set theory（DTRS） based on the BayesianB decision theory.With respect to the minimum Baye-sian expected risk,a model of fuzzy decision-theoretic rough set theory（FDTRS） was built.The corresponding propositions and criteria of fuzzy decision-theoretic rough set theory were also analyzed.An example of enterprise credit assessment was given to illuminate the proposed model in applications.