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| 区间决策粗糙集 | |
| 引用本文： | 刘盾,李天瑞,李华雄.区间决策粗糙集[J].计算机科学,2012,39(7):178-181,215. |
| 作者姓名： | 刘盾 李天瑞 李华雄 |
| 作者单位： | 1. 西南交通大学经济管理学院 成都610031 2. 西南交通大学信息科学与技术学院 成都610031 3. 南京大学工程管理学院 南京210093 |
| 基金项目： | 国家自然科学基金重大项目,国家自然科学基金,教育部人文社会科学青年基金 |
| 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 |
Interval-valued Decision-theoretic Rough Sets |
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| LIU Dun , LI Tian-rui , LI Hua-xiong.Interval-valued Decision-theoretic Rough Sets[J].Computer Science,2012,39(7):178-181,215. | |
| Authors: | LIU Dun LI Tian-rui LI Hua-xiong |
| Affiliation: | 3(Department of Economics and Management,Southwest Jiaotong University,Chengdu 610031,China)1(Department of Information Science and Technology,Southwest Jiaotong University,Chengdu 610031,China)2(Department of Management and Engineering,Nanjing University,Nanjing 210093,China)3 |
| 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. |
| Keywords: | Decision-theoretic rough set theory Probabilistic rough set theory l3aycsian decision procedure Interval-valued |
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