| n值标准逻辑系统中的随机化研究 |
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| 引用本文： | 王庆平. n值标准逻辑系统中的随机化研究[J]. 计算机工程与应用, 2010, 46(30): 16-19. DOI: 10.3778/j.issn.1002-8331.2010.30.005 |
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| 作者姓名： | 王庆平 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,西安710062;聊城大学数学科学学院,山东聊城252059 |
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| 摘 要： | 利用赋值集的随机化方法，在n值标准逻辑中提出了公式的随机真度，证明了所有公式的随机真度之集在[0,1]中没有孤立点；给出了两公式间的DGRn-相似度与伪距离的概念，并建立了DGRn-逻辑度量空间，证明了此空间没有孤立点。
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| 关 键 词： | DGRn-随机真度；DGRn-相似度；DGRn-逻辑度量空间 |
| 收稿时间： | 2010-06-30 |
| 修稿时间： | 2010-9-14 |
Stochastic study in n-valued standard logic system |
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| WANG Qing-ping. Stochastic study in n-valued standard logic system[J]. Computer Engineering and Applications, 2010, 46(30): 16-19. DOI: 10.3778/j.issn.1002-8331.2010.30.005 |
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| Authors: | WANG Qing-ping |
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| Affiliation: | WANG Qing-ping1.College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,China 2.School of Mathematics Science,Liaocheng University,Liaocheng,Shandong 252059,China |
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| Abstract: | In this paper,DGRn-stochastic truth degree of formulas in n-valued standard logic is presented by using stochastic method on evaluation sets.It is proved that the set of stochastic truth degree of all formulas has no isolated point.The conceptions of DGRn-similarity degree and pseudo-metric on two formulas are given.DGRn-logic metric space is built.And it is proved that this space has no isolated point. |
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| Keywords: | DGRn-stochastic truth degree DGRn-similarity degree DGRn-logic metric space |
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