| 不完全信息下概率决策的扩展粗糙集方法 |
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| 引用本文： | 胡明礼,刘思峰.不完全信息下概率决策的扩展粗糙集方法[J].山东大学学报(理学版),2006,41(6):93-98. |
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| 作者姓名： | 胡明礼 刘思峰 |
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| 作者单位： | 南京航空航天大学,经济与管理学院,江苏,南京,210016 |
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| 基金项目： | 国家自然科学基金;江苏省自然科学基金 |
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| 摘 要： | 为了从不完备多属性决策系统中获取概率决策规则，提出了一种不完全信息下概率决策的扩展粗糙集方法. 给出了容差关系下相容度的概念，通过设定相容阈值给出知识的粗糙下近似、上近似和边界域，然后讨论了粗糙近似的基本性质和概率决策规则的获取.通过实例说明这个新方法的可行性和有效性.
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| 关 键 词： | 不完全信息 多属性决策 粗糙集 容差关系 相容度 概率决策规则 |
| 文章编号： | 1671-9352（2006）06-0093-06 |
| 收稿时间： | 2006-08-22 |
| 修稿时间： | 2006年8月22日 |
An extended rough set methodology for probability decision analysis |
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| HU Ming-li,LIU Si-feng.An extended rough set methodology for probability decision analysis[J].Journal of Shandong University,2006,41(6):93-98. |
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| Authors: | HU Ming-li LIU Si-feng |
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| Institution: | College of Economic & Management, Nanjing University of Aeronautics and Astronautics, |
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| Abstract: | In order to obtain probabilistic decision rules from multiple attribute decision systems with incomplete information, an extended rough sets methodology is proposed. Firstly, the concept of consistency degree based on the tolerance relation is presented. Secondly, rough approximations and region boundary of knowledge are put forward by giving out tolerant region value. Thirdly, the basic properties of rough approximations are discussed, and the probabilistic decision rules are acquired. Finally, the feasibility and effectiveness of this new method are demonstrated by a real example. |
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| Keywords: | incomplete information multiple attribute decision making rough sets tolerance relation consistency degree probabilistic decision rules |
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