| 引用本文: | 常雷雷,李孟军,项成安.证据推理方法中不完备信息影响因素分析.[J].国防科技大学学报,2013,35(1):175-179.[点击复制] |
| CHANG Leilei,LI Mengjun,XIANG Chengan.Analysis on influential factors to inadequate information using evidential reasoning approach[J].Journal of National University of Defense Technology,2013,35(1):175-179[点击复制] |
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| 证据推理方法中不完备信息影响因素分析 |
| 常雷雷1, 李孟军1, 项成安2 |
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(1.国防科技大学 信息系统与管理学院，湖南 长沙 410073;2.重庆通信学院 基础部，重庆 400035)
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| 摘要: |
| 不确定条件下的不完备信息分析是多属性决策中的主要内容之一，Yang提出的证据推理方法可以较好地处理这类信息。研究了证据推理方法中不完备信息的影响因素，包括规则中的不完备信息，规则的权重以及规则的一致性，并以此为基础分析了评估结果中不完备信息的取值范围，得出了初步结论：评估结果中不完备信息的信度必然小于作为输入的规则中不完备信息中的较大者，但不一定大于其中的较小者。进一步分析了规则一致性的逻辑意义和几何意义，指出规则的一致性实际描述了规则之间的冲突程度。 |
| 关键词: 证据推理方法 不完备信息 冲突程度 |
| DOI： |
| 投稿日期：2012-05-09 |
| 基金项目:国家自然科学基金项目（71201168,71001104） |
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| Analysis on influential factors to inadequate information using evidential reasoning approach |
| CHANG Leilei1, LI Mengjun1, XIANG Chengan2 |
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(1.College of Information System and Management, National University of Defense Technology, Changsha 410073, China;2.Department of Foundation, Chongqing Communication Institute, Chongqing 400035, China)
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| Abstract: |
| Inadequate information under uncertainty is indispensable to multiattribute analysis, which can be well handled by the Evidential Reasoning Approach. The factors which bring about influence on the belief of the inadequacy in the assessment results were studied, including the belief of the inadequacy in the rules as input, the weights and the consistency of the rules. The domain of the inadequacy in the assessment results was determined and a preliminary result was drawn: the belief of the inadequate information in the assessment result can be less than the bigger one of the belief of inadequate information in the rules as input, but may not be more than the smaller one of the belief of inadequate information in the rules as input. The logical and geometry meaning of consistency of the rules was illustrated. The link between the consistency of the rules and the concept of “degree of conflict” was studied. |
| Keywords: Evidential Reasoning Approach inadequate information degree of conflict |
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