计算机科学 ›› 2012, Vol. 39 ›› Issue (7): 178-181.

• 人工智能 • 上一篇    下一篇

区间决策粗糙集

刘盾,李天瑞,李华雄   

  1. (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)(南京大学工程管理学院 南京 210093)
  • 出版日期:2018-11-16 发布日期:2018-11-16

Interval-valued Decision-theoretic Rough Sets

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

摘要: 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。

关键词: 决策粗糙集理论,概率粗糙集理论,贝叶斯过程,区间值

Abstract: By considering the "multiple-valued" character in practical decision procedure, the interval-valued loss funcdons were induced to decision-theoretic rough set theory (DTRS) based on the 13ayesian decision theory. With respect to the minimum I3ayesian 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.

Key words: Decision-theoretic rough set theory, Probabilistic rough set theory, l3aycsian decision procedure, Interval-valued

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