模糊数决策粗糙集

计算机科学 ›› 2012, Vol. 39 ›› Issue (12): 25-29.

模糊数决策粗糙集

刘盾，李天瑞，梁德翠

(西南交通大学经济管理学院成都610031)；(西南交通大学信息科学与技术学院成都610031)

出版日期:2018-11-16 发布日期:2018-11-16

Fuzzy Decision-theoretic Rough Sets

Online:2018-11-16 Published:2018-11-16

摘要/Abstract

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佑问题来阐明模糊数决策粗糙集模型的应用过程。

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

Abstract: 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 Bayesign 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.

Key words: Decision-theoretic rough set theory, Probabilistic rough set theory, Bayesian decision procedure, Fuzzy number

刘盾，李天瑞，梁德翠. 模糊数决策粗糙集[J]. 计算机科学, 2012, 39(12): 25-29. https://doi.org/

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