摘要
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.
出处
《计算机科学》
CSCD
北大核心
2012年第12期25-29,共5页
Computer Science
基金
国家自然科学基金(71201133
61175047)
教育部人文社科基金青年项目(11YJC630127)
中央高校基本科研业务费专项资金(SWJTU12CX117)资助
关键词
决策粗糙集理论
概率粗糙集理论
贝叶斯过程
模糊数
Decision-theoretic rough set theory
Probabilistic rough set theory
Bayesian decision procedure
Fuzzy number