Stochastic study in n-value GÖdel logic system

doi:10.3778/j.issn.1002-8331.2010.12.011

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (12): 42-45.DOI: 10.3778/j.issn.1002-8331.2010.12.011

• 研究、探讨 • Previous Articles Next Articles

Stochastic study in n-value GÖdel logic system

YUAN Yan-li，ZHANG Xing-fang，LI Cheng-yun

School of Mathematics Science，Liaocheng University，Liaocheng，Shandong 252059，China

Received:2008-10-30 Revised:2009-01-04 Online:2010-04-21 Published:2010-04-21
Contact: YUAN Yan-li

n值GÖdel逻辑系统中的随机化研究

袁彦莉，张兴芳，李成允

聊城大学数学科学学院，山东聊城 252059

通讯作者: 袁彦莉

Abstract

Abstract: D_Gn-stochastic truth degree of formulas in n-value logic D_Gn 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 D_Gn-similarity degree and pseudo-metric on two formulas are given.D_Gn-logic metric space is built and in which there is no isolated point.

摘要： 利用赋值集的随机化方法，在n值GÖdel逻辑系统中提出了公式的随机真度，证明了所有公式的随机真度集在[0，1]中没有孤立点；给出了两公式间的D_Gn-相似度与伪距离的概念，并建立了D_Gn-逻辑度量空间，证明了此空间没有孤立点.

CLC Number:

O159

YUAN Yan-li，ZHANG Xing-fang，LI Cheng-yun. Stochastic study in n-value GÖdel logic system[J]. Computer Engineering and Applications, 2010, 46(12): 42-45.

袁彦莉，张兴芳，李成允.

n值GÖdel逻辑系统中的随机化研究

[J]. 计算机工程与应用, 2010, 46(12): 42-45.

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Stochastic study in n-value GÖdel logic system

n值GÖdel逻辑系统中的随机化研究

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