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| 二值命题逻辑中的蕴涵度量与近似推理 |
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| 引用本文： | 王廷明 .二值命题逻辑中的蕴涵度量与近似推理 [J].重庆师范大学学报(自然科学版),2009,26(3):45-048. |
| 作者姓名： | 王廷明 |
| 作者单位： | 青岛大学,师范学院,山东,青岛,266071 |
| 摘 要： | 在二值命题逻辑系统中引入公式的真度、条件真度和蕴涵真度概念,为二值命题逻辑系统的程度化研究和近似推理提供了数值化工具.为了讨论基于真度、条件真度和蕴涵真度的近似推理模式的关系问题,以真度概念为基础,在二值命题逻辑系统中引入蕴涵度量概念,并通过蕴涵度量的真度表示式,给出了与有限理论相关的分别基于真度、条件真度和蕴涵真度的伪距离的蕴涵度量表示式,证明了分别基于真度、条件真度和蕴涵真度的近似推理问题可以转化为基于蕴涵度量的近似推理讨论,并给出了蕴涵度量在近似推理中的应用,为二值命题逻辑系统的基于不同真度的近似推理研究提供数值化方法. |
| 关 键 词： | 二值命题逻辑 真度 条件真度 伪距离 蕴涵度量 |
The Implication Measurement and Approximate soning in Two-valued Propositional Logic |
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| FANG Ting-ming.The Implication Measurement and Approximate soning in Two-valued Propositional Logic[J].Journal of Chongqing Normal University:Natural Science Edition,2009,26(3):45-048. | |
| Authors: | FANG Ting-ming |
| Institution: | WANG Ting-ming(College of Teachers,Qingdao University,Qingdao Sh,ong 266071,China) |
| Abstract: | Based on the truth degree of the formula,conditional truth degree and the implicative truth degree respectively,we gain the new numerical studying method of the severity of the systems and the approximate reasoning problems in the two-valued propositional logic.Furthermore,we also concentrate on the relationship among the truth degree,conditional truth degree and the implicative truth degree in approximate reasoning mode.According to the truth degree in this paper,we obtain the definition of the implication... |
| Keywords: | two-valued propositional logic truth degree conditional truth degree pseudo metric implication measurement |
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