Error accumulation theory in quantitative logic

doi:10.3778/j.issn.1002-8331.2009.23.003

Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (23): 9-10.DOI: 10.3778/j.issn.1002-8331.2009.23.003

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Error accumulation theory in quantitative logic

HAN Bang-he ^1，2，LI Yong-ming ^1，3

1.College of Mathematics and Information Science，Shaanxi Normal University，Xi’an 710062，China
2.School of Science，Xidian University，Xi’an 710126，China
3.College of Computer Science，Shaanxi Normal University，Xi’an 710062，China

Received:2009-05-05 Revised:2009-06-06 Online:2009-08-11 Published:2009-08-11
Contact: HAN Bang-he

计量逻辑学中的误差累计理论

韩邦合^1，2，李永明^1，3

1.陕西师范大学数学与信息科学学院，西安 710062
2.西安电子科技大学理学院数科系，西安 710126
3.陕西师范大学计算机科学学院，西安 710062

通讯作者: 韩邦合

Abstract

Abstract: The error accumulation theory is given in quantitative logic.It has been proved that in propositional logic，the error of a conclusion is less or equal to the sum of the errors of its premices as conclusions of Γ.

Key words: truth degree, similarity degree, pseudo-metric, error accumulation, quantitative logic, approximate reasoning

摘要： 在二值逻辑系统中，初步给出了计量逻辑学中的误差累计理论。证明了逻辑结论（作为Γ结论）的误差不会超过各前提误差的和。

关键词: 真度, 相似度, 伪度量, 误差累计, 计量逻辑学, 近似推理

CLC Number:

O141.1

HAN Bang-he ^1，2，LI Yong-ming ^1，3. Error accumulation theory in quantitative logic[J]. Computer Engineering and Applications, 2009, 45(23): 9-10.

韩邦合^1，2，李永明^1，3

. 计量逻辑学中的误差累计理论
[J]. 计算机工程与应用, 2009, 45(23): 9-10.

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Error accumulation theory in quantitative logic

计量逻辑学中的误差累计理论

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